"What Manchester United are going to look like next season with or without me, it doesn't matter, I'm here to prepare for next season", he told a news conference ahead of Tuesday's Premier League clash against Burnley.
Friday's victory was the ideal example of what has changed as United produced some breathtaking counter-attacking football.
The Red Devils are yet to taste defeat under interim manager Solskjaer, securing eight victories from as many games, while netting 22 goals and only conceding five in the process in all competitions. His defensive understanding and reading of the game has helped United time and again to break the opposition, and at the same time kick-start counters. Solskjaer was more than happy to oblige and signed all of the jerseys for the super fan.
But according to Mirror, United chief Ed Woodward and the American owners are in agreement that the decision to announce a new manager will be decided on the long run. Sportsmail reported last week that United's players and staff want the Norwegian to remain at Old Trafford beyond this summer after his fine start.
The Portuguese manager was often accused of being too defensive and for failing to make a true impression on United despite being there for a few years.
The Chilean has been out of the side during the past couple of games due to an injury.
However, he silenced the fans at Arsenal with an impressive goal from a hard angle as he beat Petr Cech.
"It wasn't like Alexis had an open goal, it was a great finish", the manager said. I can't see him going out on loan because Andreas has done fantastic in training ever since I come back.
Manchester United's Ander Herrera speaks with David de Gea during the Premier League Manchester United v Brighton & Hove Albion match at Old Trafford, Manchester, January 19, 2019. 'We have been working on that, we need to dig in and defend properly against good teams.
Although we could definitely get a result against these two giants, it's highly unlikely that we'll beat both while also beating the three previous teams as well.