The 21-year-old has stayed fiercly loyal to Atletico Madrid despite interest from Europe's top clubs, but a summer departure seems after the club's disappointing season in La Liga.
Chelsea came close to a £45million British record move for the striker last year - about £10m short of a bid that would meet the release clause written into his contract.
Offers: Aguero (left) is considering a move to the Premier League from Madrid
United also eyed a move after selling Cristiano Ronaldo to Real Madrid for £80million but were put off by his high wage demands.
Barcelona and Real Madrid are both admirers, while Inter Milan have also been linked with a move, and Aguero told Italian journalists: 'I am very happy that a club like Inter are after me.
'This makes me happy. But this is no time to talk about the transfer market.
'In June I will evaluate, along with the club, the offers that will come in. The priority is that the teams reach an agreement.'
Diego Maradona, Aguero's international boss and father-in-law-to-be, is an admirer of Serie A and recently told Javier Mascherano that he would be better off in Italy than Liverpool.
Come and get me: Sergio Aguero is the son-in-law of Diego Maradona
And Aguero said: 'Serie A has a big following in Spain because it is a very difficult and competitive league. We follow Inter, Milan but also my good friend (Ezequiel) Lavezzi's Napoli.'
Atletico must decide whether to spend another summer trying to fend off offers at a time when they have huge debts.
The club some how find themselves in a Europa League semi-final against Liverpool despite winning just one of their last 12 European ties, but the achievement masks a poor showing in the league.
Atletic turned around early-season fears that they would be drawn into a relegation battle, but still sit 10th after years of fighting for the Champions League places.