The Dutch teenager is heavily expected to depart the Eredivisie outfit at the end of the season, and AZ manager Gertjan Verbeek has endorsed the Emirates Stadium as a possible destination.
However, Maher has insisted that he has no interest in a switch to England and instead plans to stay in his native league for the foreseeable future.
He told NUSport: "I have already said that I do not want to go. I want a good stay in the Netherlands, at least another two to three years - I am only 19.
"PSV [Eindhoven] is a nice club, but on the other hand I live in Amsterdam. Last summer and last winter I indicated I want to go to PSV, but PSV was the only club that wanted to sign me. But I can also play for Ajax [too].
"In the summer I expect there will be a realistic bid. It is certain that I will be leaving."
Verbeek has valued Maher, who has scored five goals in 19 AZ appearances this season, at £8.5m.