The 24-year-old centre-back has been tipped to leave Ajax with a move to the Premier League being heavily rumoured.
There were claims over the weekend that Arsenal failed with a €30m bid for the Argentinian centre-back but those suggestions have been rebuffed.
Ajax have not received any official bid from the Gunners for Martinez but a bid is set to land on their table from Manchester United.
According to the Argentinian sports channel TyC Sports, Manchester United are ready to table a bid for the Ajax defender.
It has been claimed that Manchester United are ready to put in an offer worth €40m for the centre-back.
With Jurrien Timber set to stay at Ajax, Manchester United are pushing to sign Martinez from the Dutch champions.
Erik ten Hag admires the Argentinian defender and wants to reunite with his former player at Old Trafford.
Manchester United are working on a deal to sign Frenkie de Jong and are prepared to back Ten Hag with another one of his targets in Martinez.