David Moyes has admitted he would be “interested” in any player he believes could improve West Ham.
England international Barkley has been linked with a January loan move to the Hammers.
Former Everton boss Moyes handed a 17-year-old Barkley his Premier League debut back in 2011 and was asked about the two linking up again at London Stadium.
“One thing I won’t do is not talk about players at other clubs,” Moyes said at a news conference.
“Anything which we think will improve our side I will be interested to bring in.”