Luis Enrique's side did the damage in the first half at Stade Raymond Kopa, with Lee Kang-In and Bradley Barcola both scoring twice to extend their unbeaten start to the season.
PSG broke through in the 17th minute through Lee, who doubled his and the visitors' tally when he turned in Marco Asensio's low cross three minutes later.
Asensio was the provider again as the Ligue 1 leaders made it 3-0 just after the hour mark, with his centre diverted in by Barcola.
The latter grabbed his second just before half-time when he headed in from Lee's cross.
Angers made the scoreline more respectable in stoppage time, with Esteban Lepaul and Emmanuel Biumla halving the deficit for the hosts.
Data Debrief: PSG make it 30 unbeaten on the road
Now unbeaten in 30 away Ligue 1 matches, PSG are the first team in the top five European leagues to reach that mark since Napoli in 2018.
Lee scored his first brace for the club, while Asensio assisted two goals in the same league match for the first time since doing so for Espanyol against Real Betis in October 2015 (three).
Although, it was not all plain sailing for PSG, who conceded two goals in second-half stoppage time for only the second time in their history (also against Barcelona in the 2016-17 Champions League).
As for Angers, they have become the first team in Ligue 1 history to lose 15 successive matches against the same opponent.
The Parisiens' stuttering start to their Champions League continued in midweek, losing late on to Atletico Madrid to leave them 25th in the new 36-team league table.
PSG have lost five of their last eight games in the Champions League (W2 D1), as many as in their previous 19 games in the competition.
However, Luis Enrique's side have been impressive in the league and are currently six points clear of Marseille at the summit of the standings.
They also boast an impressive record against this weekend's hosts, winning 19 of their 20 encounters in all competitions (D1) against Angers.
"The most important match is tomorrow. Tomorrow, we'll rotate," Luis Enrique confirmed.
"I feel that with so little rest I need players. Angers are a highly motivated opponent who play at home.
"They can defend well and create problems in transition thanks to their wingers. I need all the players ready."
PSG will, however, be without William Pacho, who travelled to Ecuador on Thursday ahead of the international break and did not take part in Friday's training session.
Luis Enrique also insisted there had been a "blockage in finishing" in their recent fixtures in Europe, though they have not been shy of goals in Ligue 1.
In their midweek defeat, the Parisiens registered 22 shots compared to their opponents' four, ending the contest with an expected goals (xG) of 2.12 to Atletico's 0.67.
However, PSG have scored a division-high 29 goals from their 10 games so far, and Luis Enrique is relishing the chance of rediscovering their clinical edge this weekend.
"After a match like Wednesday's, and I've been through others in my career, it's difficult. Emotions are going to absorb everything," he added.
"The result will make you see everything in a negative light.
"How am I feeling? Perfectly. The more difficult it is, the better. We're aware that there's a blockage in the finishing.
"There's no denying it, it's a general problem. We need to overcome that, through confidence, by trying to create clearer chances, and collectively.
"I know it's a medium to long term project, and there will be ups and downs."
PSG bounced back after a disappointing midweek 2-1 home loss to Atletico Madrid in the Champions League by producing a dominant first-half performance, in which they scored all four of their goals, to remain unbeaten in the league.
PSG put on an attacking show throughout though, accumulating 3.5 expected goals (xG) from their 26 shots, 12 of which hit the target, while they also struck the woodwork.
Luis Enrique, who said on Friday there was a "blockage in finishing", highlighted the improvement in attack.
"It was a very complete game for our team. It was a game with a lot at stake. We were extremely efficient," Luis Enrique told a news conference.
"The blockage we talked about earlier is going to end sooner or later. We're in a process of improving."
While PSG lead Ligue 1 with 29 points, six clear of second-placed Monaco, their qualifying chances in Europe have shrunk as they sit 25th in the 36-team league, just in the elimination zone, midway through the group phase.
But Luis Enrique is confident his side will show their quality in Europe's elite club competition to reverse their poor form.
"This team has good players. The quality is there. No matter who's on the pitch, even the newcomers," he said.
"Maybe it is a question of pressure [in the Champions League]. But we're going to score a lot of goals. The quality is there to rise to the challenge. It's all in our hands."
Luis Enrique dedicated Saturday's win to his assistant coach Rafel Pol following the death of his wife after a long illness.
"We want to dedicate this victory to Raquel and Rafel, and, of course, to their family. We share their grief and send them lots of support," the Spaniard added.
Striker Icardi recently returned form a spell on the sidelines with a thigh injury and showed what a useful asset he can be to Mauricio Pochettino with Ligue 1 and the Champions League up for grabs, converting a pair of sharp finishes.
Neymar, back in action after a completing a domestic suspension, also got in on the act midway through the second period, having prompted a 23rd-minute own goal from Vincent Manceau.
Icardi then claimed the matchball with the final act of the game, lashing home a looping ball with an unstoppable volley.
Kylian Mbappe rested up on the bench but PSG's other attacking options showed themselves to be in fine order, as Icardi slotted home to crown a slick ninth-minute move on the end of Julian Draxler's cute throughball.
Jimmy Cabot tested Sergio Rico, who was again deputising for the injured Keylor Navas in goal for PSG, before the hosts doubled their advantage in fortuitous fashion.
Full-back Colin Dagba made hay down the Angers left and his cross was clipped towards goal at the near post by Neymar. Ludovic Butelle saved well but the rebound hit Manceau and spun into his own net.
The Angers defender should have atoned for that misfortune two minutes before half-time when he was left unmarked in the PSG box, only to blaze wide on the volley.
Angers continued to probe for a way back into the contest but PSG effectively made sure of their semi-final spot in the 65th minute – Butelle darting out to deny Draxler and the loose ball spinning up for Neymar to head into an unguarded net.
Three minutes later, the visitors were cut apart again, this time down their right flank as Angel Di Maria brilliantly engineered space to cross, with compatriot Icardi the beneficiary.
Rico denied Angers a consolation, pushing over when Farid El Melali fired a centre from fellow substitute Lois Diony towards the roof of the net, before Icardi emphatically had the final word.
The first round of matches will take place on the weekend of August 22-23, with the season set to conclude on May 23 next year.
PSG were awarded their seventh top-flight title in eight seasons after the 2019-20 campaign was abandoned and decided on a point-per-game basis due to the coronavirus pandemic.
The abandonment move has since been questioned amid other elite divisions in Europe successfully resuming their seasons behind closed doors.
An LFP vote sealed Amiens and Toulouse's relegation, with Lorient and Lens promoted from Ligue 2 in their place.
Lorient host Strasbourg on the opening weekend, while Lens are on the road at Nice.
The first Classique of the season comes in the third round of fixtures, with PSG welcoming Marseille to the Parc des Princes in mid-September. The return is billed for February 7.
Marseille start at home to Saint-Etienne, with Bordeaux and Lille hosting Nantes and Rennes respectively.
Lyon begin on the road at Montpellier, with the first of their always feisty clashes against Marseille coming at Groupama Stadium on October 4. The rivalry is then scheduled to resume at the Stade Velodrome on February 28.
Ligue 1 2020-21 – Opening weekend fixtures in full:
Lorient v Strasbourg
Nimes v Brest
Dijon v Angers
Bordeaux v Nantes
Monaco v Reims
Montpellier v Lyon
Nice v Lens
Lille v Rennes
Marseille v Saint-Etienne
PSG v Metz
