The Sweden striker, who is leaving Paris St Germain this summer, has been strongly linked with United.
And at a press conference on Thursday, he confirmed he has had “concrete offers” from Premier League clubs.
He did not mention United specifically in that context, but spoke of his admiration for and “great relationship” with his former boss Jose Mourinho, who is expected to soon be named the club’s new manager.
Asked if he has spoken to Mourinho in the past week, the 34-year-old frontman said: “I have spoken with him every day since I left Inter Milan (where they worked together in 2008-09).
“I have a great relationship with Mourinho and we are in contact, but not in the last weeks – we have been talking for many years.”
Regarding the prospect of Mourinho taking over at United, Ibrahimovic said: “I think it is a great move – if you want action you bring Mourinho.
“I believe he is the man to take them back to the top.
“Wherever he went he has won. He knows what he is doing. If you want to win, you bring Mourinho.
“I had a fantastic time with him when I was working with him – so working again with him…?
“When I left Inter I said we had had a short time together but a great time. If we will work together again, I don’t know. Let’s see how things play out.
“I don’t give guarantees – but there are concrete offers from the Premier League, so let’s see what happens.”
It was also put to Ibrahimovic that there have been questions over whether he would be suited to the Premier League, given his age.
He replied: “I am only warming up. I had a fantastic season and proved age is just a number.
“Everything is in your head – whatever you want to do, you will do it.
“If I want to make it, I will make it. I am not worried.”
Meanwhile, it still appears to be a case of when rather than if Mourinho is announced as successor at United to the sacked Louis van Gaal.
It is understood the situation continues to develop after talks between Mourinho’s agent Jorge Mendes and United’s executive vice-chairman Ed Woodward began in London on Tuesday.
That was a day after United confirmed they had parted company with Van Gaal, who guided the Red Devils to an FA Cup triumph last weekend but had a generally disappointing two-year tenure.
The club will play Europa League rather than Champions League football next season after finishing the 2015-16 Premier League season in fifth place.
It is expected Mourinho will oversee a major overhaul of the playing staff as he attempts to revive United’s fortunes – and Ibrahimovic’s is among a host of names being touted as potential new signings.