"They had more ball, they had more chances but I have to defend the players and the spirit of my players and say they were unbelievable the way they fight", he said, after his team extended their unbeaten run to 24 games.
The Belgium international's moment of derby madness - clearly making contact with Aguero- ignited a goalless stalemate but Manchester United manager Jose Mourinho insisted that the City player's reaction was over dramatic.
United has a hard run-in, with trips to come to Tottenham and Arsenal, and is still involved in the Europa League, with a two-leg semifinal looming against Celta Vigo.
The Belgium worldwide was shown a straight red card for throwing his head at Sergio Aguero, seconds after his second rash challenge on the Argentine.
Ibrahimovic was in fine form for United prior to his injury setback, scoring 17 goals in 28 league games for the Red Devils and should he take Schweinsteiger's advice, he will be hoping to enjoy as smooth as a transition as the German, who has scored two goals in his opening three games, including one on his debut.
While Bravo looked fallible at one end, David de Gea proved impeccable at the other with a brilliant diving save to deny Aguero's curling 25-yard strike before getting down to his right to keep out a low drive from Aleksandar Kolarov.
"It makes things more hard when you go down to ten men".
Referee Martin Atkinson consequently showed the Belgium worldwide a straight red card in the 84th minute, with United having to hold on for a 0-0 draw.
Turkey arrests over 1000 people in new Erdogan crackdown
The vast operation targeted big cities such as Istanbul as well as Izmir in western Turkey and Konya in the Anatolian heartland. Erdogan has repeatedly said he will wipe out the "virus" of Gulen from state institutions after the failed coup.
"I didn't watch the Fellaini incident on TV but I spoke with Fellaini", he told Sky Sports. I spoke to (referee) Martin (Atkinson) - he thinks it was a red card.
United had only 31 percent possession and created few chances as they battled for a share of the spoils that left them a point behind fourth-placed City in the Premier League.
However, after the interval, the absence of injured midfielder Paul Pogba was greatly felt as Mourinho admitted his men were overrun by City.
He said: "We wanted to do more in terms of attacking and to explore more of the counter-attack".
However, Mourinho was pleased to grab a hard-fought point after they made the "decision to play for the draw".
Mourinho said United was "the best team in the first half and. the best team in the second half".
"I promise not to speak about the players that are not playing".
"I can guess it's a bit of a red card and a bit of a very smart, very experienced Argentinian player". In second half we didn't create them any problems in attack and let them feel that they could win.