A commutative order in a quaternion algebra is called selective if it is
embeds into some, but not all, the maximal orders in the algebra. It is known
that a given quadratic order over a number field can be selective in at most
one indefinite quaternion algebra. Here we prove that the order generated by a
cubic root of unity is selective for any definite quaternion algebra over the
rationals with a type number 3 or larger. The proof extends to a few other
closely related orders
