This talk will begin with the maximal amenable subalgebras in free group von Neumann algebra, then focus on the radial MASA in the orthogonal free quantum group algebra. We will show that this masa is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu’s basis, which is not orthogonal anymore.