Yorkshire chairman Graves, who will officially succeed Giles Clarke as ECB chairman in May, is keen on the idea of introducing Twenty20 franchise cricket to the English game.
The league would be likely to operate along similar lines to the Indian Premier League and Australia???s Big Bash League, with the teams based in major cities rather than playing as county sides.
Graves said: “We’ve got to look at an English Premier League somewhere and how we can fit that into the calendar.
“We can’t ignore it. It’s been successful in India and Australia, so why shouldn’t it be successful over here?”
Former England batsman Pietersen has been an advocate of introducing franchise cricket to England, having played in the Indian and Australian leagues and he welcomed Graves??? statement.
Pietersen wrote on Twitter: “New @ECB–cricket chairman wants a T20 English franchise tournament! Absolutely brilliant! Forward thinking & brilliant for all players!”
Asked by a fellow user of the social network if the “horse has bolted”, Pietersen replied: “Better late than never! Good sign for future of English Cricket. I’ve been saying it for 6yrs! Just to wrong management!”