Wolves took a 15th-minute lead through Sylvan-Ebanks Blake, only for a Thomas Ince double to earn Blackpool their first win in seven league games.
Thompson, who is in temporary charge for the second time this season having first stepped in following the departure of Ian Holloway and then taken the reins from Michael Appleton, said: "It is not going to do me any harm to get results.
"I have always said that if it is me, fantastic. If it is not I will just hold the fort until somebody else comes in here.
"But whoever gets it has got a special bunch of players there. Karl (Oyston, Blackpool's chairman) knows the situation at the moment and it is in his court.
"I have always said that I am ready to be a number one. I would be chuffed to bits if I got a number one."
Wolves are sliding towards the drop zone and manager Dean Saunders admits he needs some wins.
He said: "I will probably learn more from that than if we had won 2-1.
"I have got to put things right and I will give the players a chance to do it themselves and if not I have to replace them as there are lots of little mistakes going on out there that I can see.
"If we had won 3-0, you end up not realising what has been wrong for two or three years. But we have got to get away from the bottom. We have to get a couple of wins."
- Sports & Recreation
- Michael Appleton
- Ian Holloway