FC Copenhagen full-back Oviedo has emerged on the radar of Premier League clubs, with the Red Devils and Everton both reported to be admirers of the 23-year-old.
United appear to be in the market for a new left-back to provide competition for Patrice Evra after Fabio was allowed to join QPR on a season-long loan.
Everton, meanwhile, have been linked with a bid for Oviedo as a possible replacement for Leighton Baines, who is also reportedly wanted by United.
Oviedo says he is currently happy with Copenhagen, but may review his future if he receives an offer from a major club.
"I was very proud the first time I saw my name in the English newspapers regarding interest from Manchester United and it made me even more motivated and determined to improve as a player," Oviedo told bold.dk.
"It is very important for my career that the big teams know who I am.
"At the moment I'm happy to stay in Copenhagen, where my home is, but I have to seriously consider my options if I get an interesting offer.
"I have to decide what is best for my family and me."
French side Lille have also been linked with a move for Oviedo, who would reportedly cost in the region of 2.5million euros (?2m).
