"I am a club man, but (a) many clubs man", he said.
United still have plenty of time to bridge the gap to City, but Rashford insists getting back into the Champions League places wouldn't be enough to constitute a successful season for the Red Devils.
Arsenal fans expected Mourinho to be their new manager but the Portuguese manager made a surprise move to the Gunners' arch rivals, Tottenham.
"Manchester United always have to win trophies".
Solskjaer was named United's permanent manager in March following an impressive spell as interim boss, but Mauricio Pochettino, then in charge of Tottenham, was the favourite to takeover. "If we come out of this season with top four but without a trophy, I wouldn't be happy".
The 7 Teams That Attended Colin Kaepernick's Training Have Been Identified
Kaepernick wanted all media representatives to be granted entrance to the workout even in order to ensure "transparency". Speaking with reporters, Nalley said, "I'll be honest, I'm a little bit pessimistic because I've talked to all 32 teams".
But Rashford - who signed a new four-year contract with United in July and has become the focal point of the attack under Solskjaer - says the club are already in the best hands.
"To me, it's just about breaking the markers for what we can do in the future because we know this season won't change overnight, Ole won't get what he wants overnight".
"There was no hesitation from me over signing a new contract", Rashford told Sky Sports.
Through some of my professional roles in sport, I am finding myself close to some of the top professionals in the corporate world, individuals who are operating at the top of their game.
'If we blueprint as much as secure some trophies and secure ourselves into the tip four then, take into accout that, it has been a a success season.
"As long as we keep working hard and believing in what we are doing, we will be fine".
"In relation to the difficulty of the job, every time a club changes in mid-season it is because the situation is not good, that is obvious, unless something odd happened that we don't know outside", he said.