Suppose X is a subspace of $(sum_{n=1} ^{infty} X_n)_{c_0}$, dim $X_n<{infty}$, which has the metric compact approximation property. It is proved that if Y is a Banach space of cotype q for some $2{leq}1<{infty}$ then K(X,Y) is an M-ideal in L(X,Y).