  We study operads with trivial $\mathbb{A}$-actions and prove an equivalence
between the category of $\mathbb{A}$-trivial operads and that of
pseudo-graded-Perm associative algebras. As a consequence, we show that
finitely generated $\mathbb{A}$-trivial operads are right noetherian of
integral Gelfand-Kirillov dimension and that every element in a prime
$\mathbb{A}$-trivial operad is central.
