Morgan replaced Alistair Cook in December and will lead the team at the World Cup in Australia.
Pietersen's colourful international career was ended by England last year but the former skipper has been in fine form playing in Australia's Big Bash competition for Melbourne Stars.
"I know that the current captain would love to have me in the England team," Pietersen said while co-commentating on the Twenty20 tournament on Tuesday. "I want to play for England."
Pietersen is fourth on England's list of all-time run scorers in one-day internationals with 4,422 at an average of 41.32 and says there could be more to come, given the chance.
"I'm 34. Sri Lanka's Kumar Sangakkara is 38 (sic) years old and has just scored a double hundred," he was quoted on the BBC.
"I honestly believe I am batting as well as I have ever batted at the moment."
Pietersen's contract was terminated by England after last year's Ashes defeat by Australia, with the England and Wales Cricket Board (ECB) implying that Pietersen had become a divisive presence in the changing room.
(Reporting by Martyn Herman, editing by Pritha Sarkar)
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