The 28-year-old was handed a new two-year contract by Everton on Thursday.
The Tottenham midfielder is struggling to find his club form for Belgium.
Leeds United could be busy in the next few months.
The Frenchman is out of contract at the end of the month.
England face Russia in their Euro 2016 group opener on Saturday evening in Marseille.
West Ham United have been linked with some top players this week.
He rates the Liverpool striker ahead of Harry Kane and Jamie Vardy.
The Crystal Palace ace singled out the Everton and Tottenham Hotspur stars who impressed him.
Leeds United have secured the youngster on a one-year deal.
José Mourinho believes having someone with Carrick’s experience at Manchester United will help him to learn the ropes at Old Trafford quickly.