Chris Hughton has not denied Wes Hoolahan has requested a transfer but the Norwich City boss wants the midfielder to stay at Carrow Road.
Aston Villa manager Paul Lambert is reported to be eager to sign the Republic of Ireland international, who he worked with during his time at Norwich.
Reports suggested that the former Blackpool playmaker Hoolahan asked to leave the East Anglia club this month after starting only five Premier League games this season but Hughton is not looking to sell.
"Wes is here, he is training and he is fit so he is very much in my thoughts for Everton," he told reporters.
"I have been fairly consistent in the way we deal with things here at this football club. What will always happen is there will be enquiries for our players and we will make enquiries for other players.
"That is normal. The correct way for us is that they remain private conversations between the clubs.
"When there is, at any stage, anything to say about anybody, whether that is our player or not, we will make the announcement at the appropriate time.
"Wes is a player who, first and foremost, is under contract. Apart from the recent cup game he had played in the last two games. He is as important as every other player in this squad.
"What we are trying to achieve here is build the best squad we can to get us as high up the league as we can and to do that we know to keep hold of our good players and Wes is very much part of the squad at the moment."