He has only scored three goals in 23 appearances for Valencia this season.
"We are negotiating with several clubs an exit for Batshuayi", Alemany was quoted by Metro UK as saying telling reporters.
General director Mateu Alemany confirmed on Thursday that Batshuayi has played his last game for the side and will should be away before Saturday's game with Real Valladolid.
However, the Belgian has been in bad form at Valencia this season, scoring just one goal in 15 matches. "I expect he will leave in the coming hours or days", Alemany said.
Batshuayi has spent the first half of the season at Valencia, but the Belgium worldwide is scheduled to return to Stamford Bridge after scoring just twice in eight starts and 12 substitute outings in La Liga and the Champions League.
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Marco Silva has reacted to Nikola Vlašić's comments about his Everton future earlier this week, saying he will have to wait and "see what happens". He is leaving now and it is now a matter of negotiation.
Monaco will have competition from Everton and Crystal Palace in the Premier League, as well as other clubs in Europe, though the Toffees would have to buy the striker outright as they have Kurt Zouma on loan from Chelsea at the moment.
Current strikers Dominic Calvert-Lewin, Cenk Tosun and Oumar Niasse have proved to be far from prolific options this season, with Richarlison moved into a central role instead.
Everton are reportedly interested in signing Batshuayi, with an £18million move mooted for the 25-year-old.
Premier League rules do not permit English top-flight clubs to loan more than one player to the same club.