The Mali international, 26, is expected to leave Upton Park this month as he struggles to hold down a first-team place for the Hammers.
Turkish club Sivasspor are leading the chase for Maiga's signature, though Willie McKay has suggested that he could move elsewhere.
"Sivasspor have expressed an interest in Maiga and we are talking to them and several other clubs," McKay told Sky Sports News.
"There are other Turkish clubs, French clubs and two in the UK who are interested in him. West Ham are ready to let him leave and it could be a permanent deal."
Maiga has scored two goals in 19 appearances for West Ham so far this season.