It would be speculation to suggest Satan asks for approval from God for all he does to mankind .
It's what theologians call a good and necessary inference.
New King James
Mathew 4:1 Then Jesus was led up by the Spirit into the wilderness to be tempted by the devil.
The Spirit led Jesus into the wilderness to be tempted by the Devil. It appears this was set up by God for a purpose.
D
avid and the census. 1Chronicles 21:1 Now Satan stood up against Israel, and
moved David to number Israel.
2Samual 24:1 Again the anger of the LORD was aroused against Israel, and
He moved David against them to say, "Go, number Israel and Judah."
The word "moved" there in both sentences is H5496 sûth. It means to incite, allure, instigate, entice
James 1:13 Let no one say when he is tempted, "I am tempted by God"; for God cannot be tempted by evil, nor
does He Himself tempt anyone.
It's obvious that God moved David by using Satan to move David. Here we are getting into causality. God was the primary cause and Satan was the secondary cause.
Colossians 1:17 And He is before all things, and in Him
all things consist. Satan is a created being and he cannot do anything God does not allow.
Act 17:25 Nor is He worshiped with men's hands, as though He needed anything, since He gives to all
life, breath, and all things.
Satan depends upon God for every second of his existence. He isn't this autonomous thing that just runs around and does whatever he wants.