The pair clashed during the game at the Etihad Stadium, with United left livid after City failed to give them back possession when Dean Henderson had kicked the ball out of play following an injury to Marcus Rashford.
Guardiola and Solskjaer appeared to resolve the issue with a fist bump but there was subsequently an angry exchange of words between the pair.
Manchester City boss Pep Guardiola has played down his spat with Ole Gunnar Solskjaer
Guardiola was eager to play down the incident after the game.
Speaking on Sky Sports, Guardiola said: ‘No problem. It’s solved.’
United prevailed with a 2-0 victory as Bruno Fernandes and Marcus Rashford scored, with City’s run of 21 consecutive wins in all competitions coming to an end.
The pair clashed after United were livid that City didn’t give the ball back to them
Guardiola said that the issue had been resolved and that he has no problem with Solskjaer
Despite the defeat, Guardiola’s side are eleven points clear of United at the top of teh table with ten games left to play.
The City manager is already looking ahead to his side’s next game, which sees them take on Southampton on Wednesday.
Guardiola said: ‘The news is 21 victories in a row. This result is going to help us a lot to understand how difficult it is. The important one is the next one. There’s still a lot of games to play.
‘We hit the crossbar from Rodri but sometimes that’s what happens. We felt good at the normal level we were playing. We played much better than against West Ham, but we congratulate United and think ahead.’