Satan tempted Jesus in Luke 4:
Whatever authority Satan thought he had, it was permitted by God. God could cancel it at any time. Similarly, John 19:
Satan holds the power of death, Hebrews 2:
Does Satan have any authority?
Yes, he has some kind of authority. See Satan is the ruler of this world?.
Does Satan have any ultimate authority/sovereignty?
No. All authority belongs to Jesus.
Satan tried to make a deal with Jesus: Worship me and I will give you the authority over all the kingdoms of the world.5And the devil took him up and showed him all the kingdoms of the world in a moment of time, 6and said to him, “To you I will give all this authority and their glory, for it has been delivered to me, and I give it to whom I will. 7If you, then, will worship me, it will all be yours.”
Whatever authority Satan thought he had, it was permitted by God. God could cancel it at any time. Similarly, John 19:
Jesus knew the deeper truth. All authority ultimately came from God.10 Pilate said to him [Jesus], “You will not speak to me? Do you not know that I have authority to release you and authority to crucify you?” 11a Jesus answered him, “You would have no authority over me at all unless it had been given you from above."
Satan holds the power of death, Hebrews 2:
However, Jesus triumphed over Satan by dying on the Cross. Col 2:14 Since the children have flesh and blood, He too shared in their humanity so that by His death He might destroy him who holds the power of death, that is, the Devil.
After the resurrection, Mat 28:14 by canceling the record of debt that stood against us with its legal demands. This he set aside, nailing it to the cross. 15He disarmed the rulers and authorities and put them to open shame, by triumphing over them in him.
Now, Jesus has all authority. This is a better deal than Satan's. Whatever authority and power Satan has right now, it is under the authority of Jesus.16Now the eleven disciples went to Galilee, to the mountain to which Jesus had directed them. 17And when they saw him they worshiped him, but some doubted. 18And Jesus came and said to them, “All authority in heaven and on earth has been given to me."
Does Satan have any authority?
Yes, he has some kind of authority. See Satan is the ruler of this world?.
Does Satan have any ultimate authority/sovereignty?
No. All authority belongs to Jesus.