"I would like to be one at some point," Norris told DAZN.
"Who else could it be? It would be nice if it was Lewis [Hamilton], it would be amazing to see him.
"Or Fernando [Alonso], or Carlos [Sainz], or Charles [Leclerc], or [George] Russell? They're all great drivers who you know would make it tougher for him. There have always been rumours with me and other drivers."
Red Bull boss Christian Horner, meanwhile, has suggested the upcoming Las Vegas Grand Prix may act as a springboard to boost Perez's ailing spirits.
"It's important for his confidence,” Horner said after the Brazilian Grand Prix. "I think that was the Checo that we know, and you know what he's capable of.
"And that'll give him just the boost he needs going into another street track that he's always, you know, performed well out in.
"I thought he drove brilliantly well. He had a little bit of a wobble at Turn 2 which allowed Fernando [Alonso], who was quick on the straights, to have a go at him."
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