Depends on what one means by that, imho.
Satan has a long rope currently.
But he is still encapsulated, contained in some boundaries, as it were; as it is.
He no longer has anything close to carte blanche . . . if he ever really did.
His legal authority has been taken away at the Cross.
He’s a brazen usurper for sure, now. And, he knows his days are numbered and short.
As Scripture says, he’s out to make the most [mayhem] that he can in the time remaining.
I agree that satan can’t do anything without God’s approval. God ultimately is in control, but satan has this world by the tail until such time as God chooses to send Jesus back to earth to kick the old devil right out of here.