The Somerset star is part of the 17-man squad that flies to Dubai on Thursday for a training camp ahead of their India tour.
Compton was selected as an opener along with Yorkshire's 21-year-old Joe Root, making him a potential replacement for retired ex-captain Andrew Strauss.
But with Pietersen recalled to the tour party following his mid-summer madness, Jonathan Trott could move up the order, which could lead to Compton being left out of the squad for first Test starting on November 15.
"His statistics and the sort of player he is speak for themselves. The chance to be with an England batsman of that calibre is fantastic," the Sun quoted Compton, as saying.
"I don't know what the coaches or the selectors are thinking. All I can do is go out there in the warm-up games and give the best account of myself," he added.
"If I do, hopefully I can put my hand up for a spot. The top three is a place I've identified. KP bats in the middle order so whether we're competing there as well I have no idea," he said.
Compton added: "But if there's an opening spot it's something I would like to grab with both hands."