The 2014 world champions are searching for a new coach to succeed Joachim Low, who will leave his role after the Euro 2020 finals later this year.
Flick, Low's former assistant, was predictably mooted as a potential replacement having enjoyed great success as Bayern boss.
The Bavarian giants won the treble last season and have already added the Club World Cup title in 2020-21, while defences of their Bundesliga and Champions League crowns remain on track.
Flick, who turned Bayern's fortunes around, is under contract until 2023, although club CEO Rummenigge will depart at the end of the year.
That will not spell the end of Flick's tenure, though, Rummenigge insisted last week, saying: "We are well advised to finish what we have agreed in the contract."
But this does not clash with Germany's plans either, as Bierhoff says the new man will not be poached from another job. Ralf Rangnick, who turned down a role at Schalke, has been linked.
"Nothing has changed for us," the team director said on Monday. "We always said we won't approach a coach who is currently under contract.
"I interpreted it in the way that [Rummenigge] wanted to back Hansi Flick and he did. That is the right thing to do as CEO of a club."
Bierhoff was facing the media at the start of the first international break of 2021, with the clock now ticking on Germany's recruitment process.
"We don't have limitless time, but we are not under pressure either," he said. "We have to appoint a new coach for the time after the Euros. We are going to take our time.
"The DFB delegation will be in the team hotel in the coming days. President Fritz Keller, Peter Peters, Rainer Koch and Friedrich Curtius will be there and we will discuss the situation.
"Obviously we will analyse, discuss and have long talks, and then we'll see."
The 31-year-old midfielder joined Bayern from Athletic Bilbao in 2012 and has won 19 trophies during his time at the Allianz Arena.
However, Martinez has been restricted to just 10 starts in all competitions in 2019-20 and recently entered the final 12 months of his contract.
Rummenigge has opened the door for the Spaniard to move on during the close season, with teams in France and former club Athletic rumoured to be interested.
"We know that he would like to leave the club with a suitable offer," Rummenigge told AZ.
"We wouldn't put any obstacles in his way because he was always a good player and a reliable, serious person. We will always try to find a solution that suits the player."
Rummenigge also reiterated on Wednesday that fellow midfielder Thiago Alcantara, strongly linked with Liverpool, will only be allowed to leave if his valuation is met.
Bayern are also in talks with versatile defender David Alaba over a new contract, while loanee Philippe Coutinho will return to Barcelona later this month.
Germany, who were expected to reach the latter stages of Qatar 2022, crashed out at the group stage, leading to the departure of team director Oliver Bierhoff after 18 years.
There was speculation boss Hansi Flick would follow him, but the former Bayern Munich coach confirmed he would be staying on board.
The new advisory group includes former Bayern CEO Karl-Heinz Rummenigge, Oliver Mintzlaff, and former Germany internationals Matthias Sammer, Rudi Voller and Oliver Kahn.
It will be led by Neuendorf and DFB vice-chairman Hans-Joachim Watzke.
"I think this is a group that knows a lot about men's football and the national team," Neuendorf said. "We are not an association in which one person decides everything.
"There will be a first discussion before Christmas. We will give ourselves a timetable there. We have to join forces towards the European Championship in 2024. It has to be a success."
Neuendorf also confirmed there will be a new group that will "take a close look at the entire business area for which Bierhoff was responsible".
This group will include DFB general secretary Heike Ullrich, former Germany international Philipp Lahm and European Championship ambassador Celia Sasic.
"We will see how we set up the area in the future in order to be successful," Neuendorf added. "And we will be self-critical."
