For each $-1 < q < 1$, Bozejko and Speicher's q-Gaussian functor is a natural and important generalization of Voiculescu's free Gaussian functor. We study a class of subalgebras of the corresponding q-Gaussian von Neumann subalgebras. We construct a Riesz basis in the spirit of Radulescu in the q-Fock space. Then we use this basis and follow Popa's approach to show that when $|q| < 1/9$ , the generator subalgebras are maximal amenable inside those q-Gaussian algebras. This is joint work with Sandeepan Parekh and Koichi Shimada.