Ralf Rangnick has not spoken to Manchester United about his replacement, though the German has an opinion on who his successor should be.
The German takes charge of the Red Devils in his first derby against Manchester City on Sunday, after succeeding Ole Gunnar Solskjaer in December on a short-term deal through to the end of the season.
Several names have been floated about as the next permanent occupant of the managerial hot seat at Old Trafford, including Paris Saint-Germain's Mauricio Pochettino and Ajax's Erik ten Hag.
But speaking ahead of his side's trip to the Etihad Stadium to face Pep Guardiola's Premier League leaders, Rangnick told Sky Sports: "So far, we've not spoken about that.
"Not with [sporting director] John Murtough or anyone else, we've not spoken about this topic over the last weeks and months since I've been here.
"I know my opinion but so far we've not spoken about that so it's all I can tell you."
On Ajax boss Ten Hag, the German had nothing but kind words, adding: "I don't know him to start with as a person, but I've seen how Ajax have developed since he's been there.
"I know about the work he did while he was at Bayern Munich and it's obvious he's one of the top coaches in Europe but there are a few others.
"We've not spoken about any new manager so far and therefore we've not spoken about him."
United face City in a contest that could seriously shake up both of their respective campaigns, with the former seeking to strengthen their top-four hopes and the latter needing to consolidate their spot at the summit.
Rangnick is under no illusions over the magnitude of the match, and drew comparisons to his own previous experience with local rivalries.
"One of the biggest derbies is Schalke against Dortmund and I managed in quite a few of them in the two times I was head coach at Schalke," he added.
"I'm fully aware of what that means for the supporters of both teams. Similarly, the Manchester derby is a game of high importance for both teams and we'll be ready.
"We want another good away performance as so far we are unbeaten in three months away from home. We're fully aware we will need a top performance to get anything out of this game."
Foden matches Messi and Haaland feat with 50th league goal under Guardiola
Phil Foden equalled the feats of Lionel Messi and Erling Haaland when he scored his 50th league goal as Manchester City stormed into a 3-0 lead against Brighton.
Foden scored twice in the first half at the Amex Stadium on Thursday, setting Pep Guardiola's team on the way to a potentially pivotal win in the Premier League title race.
The England international's first, which came after Kevin De Bruyne's excellent diving header, came as his free-kick deflected in off the unfortunate Pascal Gross.
It was that goal that marked Foden's 50th in league football, with all of those coming under Guardiola.
That makes Foden just the third player to score 50 league goals under Guardiola while aged 23 or younger, after City team-mate Haaland and Barcelona great Messi.
Foden netted his 51st Premier League goal soon after, drilling in after City capitalised on some slack Brighton play.
Guardiola insists Man City share same title hunger as challengers
Pep Guardiola insists Manchester City share the same hunger to lift the Premier League trophy as their title rivals, warning perfection may still be needed for the champions to retain their crown.
It has been a mixed week for City's rivals thus far, with Arsenal thrashing Chelsea 5-0 on Tuesday before Liverpool suffered a surprise 2-0 defeat in Wednesday's Merseyside derby at Everton.
Those results mean the Gunners sit four points clear of City and Liverpool lead the champions by one, but with two games in hand, the title race is still very much in City's hands.
They go to Brighton and Hove Albion on Thursday before facing Nottingham Forest on Sunday, and Guardiola still thinks even the slightest slip-up could prove costly.
Asked whether City need to win their six remaining games to win the title, Guardiola said: "Yes, absolutely. They gave us a chance, with the fact they lost last week to Aston Villa and Crystal Palace.
"But we knew what we had to do before those games, and now we have to win all games so that at the end, we have it in our hands to retain our title.
"Nothing changes. The fact is, we knew what we had to do before, and now nothing has changed."
Guardiola was then asked whether City are as motivated to win the title as their rivals, having lifted the trophy in five of their seven seasons under him to date.
He said: "I would not be here [if not]. There are so many games, and to be in this position after what we have done in the past, it would not be possible [without the desire].
"We know the difficulty is extreme, and it will remain difficult because we have tough games coming up. We go one game at a time, and we know that if we lose, it will be so tough to retain the title.
"Last Saturday proved the many difficulties we have, especially the schedule and recovery time after the game against [Real] Madrid. The players were unbelievable."
Guardiola hit out at the busy nature of the schedule after Saturday's FA Cup semi-final win over Chelsea, saying he couldn't understand how his players had managed to perform just three days after their penalty shoot-out defeat to Madrid.
Those comments have sparked renewed debate about the football calendar, and Guardiola was asked whether elite clubs had a right to complain while organising money-spinning pre-season tours around the globe.
"Yeah, but we have to do it," he said. "We have to pay the salaries of the players and the manager, and the club has fans all around the world who want to see us. They are an income for us.
"It's not easy, but we have to get resources. I would love to say don't go to another continent to play, have another week of holiday, and then train here. But we have to understand the club.
"It's not just Man City. Every club needs those financial resources to be sustainable. Now that we've won a lot, for many years, we have a lot of supporters. That's why it's necessary to do, and you have to adapt.
"But that is not the reason why [he complained]. The reason is that the schedule is so tight. I'm sorry, it's not."
Man Utd matchwinner Fernandes: Criticism part of the job
Bruno Fernandes said Manchester United's players cannot afford to get annoyed by outside criticism, after he scored twice to fire the Red Devils to a much-needed win over Sheffield United.
Erik ten Hag's team were roundly criticised for their performance in Sunday's FA Cup semi-final against Coventry City, as they surrendered a 3-0 lead to draw 3-3 before inching through in a penalty shoot-out.
They had also gone four Premier League games without a win (three draws, one defeat) prior to Wednesday's meeting with the rock-bottom Blades, with their hopes of Champions League football all-but over.
They twice trailed as Sheffield United threatened a huge upset, but Fernandes scored twice and supplied an assist as they fought back to claim a 4-2 win.
Asked whether the noise around Sunday's semi-final win had affected the mood at Old Trafford, Fernandes told Sky Sports: "That's part of the job.
"You can be in a run of games where you win eight or nine in a row, and when you lose one you know you'll be criticised.
"Being at Manchester United demands winning every game, so it's part of the job. If there is anyone in the dressing room still not used to that, they will get used to it!
"Being a Manchester United player demands being ready to receive as much criticism as praise. We receive praise when we do good things so we can't be annoyed by the criticism.
"When people want to do that, they might have a point. We can think in a different way, but we have to take it in the same way as we take the credit they give us."
Ten Hag's team did look disjointed for long periods on Wednesday, though, and they have now conceded 50 Premier League goals this season.
The Red Devils have now shipped a half-century of goals in two of their last three Premier League campaigns, having done so just once in their previous 29.
Ten Hag, though, was content with most aspects of their performance, saying: "It was a good game for the crowd, they saw four goals and many chances that we created.
"I think we played quite well, we created many more chances, so there's many positives. But also negatives. Conceding two goals from giveaways, that's unacceptable.
"We want to play dynamic, attacking football. That is what we want to see. Since the winter we have created lots of chances and also scored a lot of those chances."
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