Anderson was not part of the England squad that won the Twenty20 World Cup in 2010 and the 29-year-old pacer said he would look to perform well in the ongoing ODI series against India to earn a place in the T20 squad as well.
"My immediate priority is to play my part in winning the ODI series against India, but if I bowl well enough perhaps that will push me back into their thinking," Anderson was quoted as saying by the 'Daily mail'.
"If not, one option might be to try to play in the Indian Premier League next spring or elsewhere, something I'm really going to have to consider.
"I'm sure the selectors know my feelings. I want to play T20 cricket for England, I'm disappointed that I'm not and it's down to me to persuade them I should be," he added.
Anderson yesterday became only the second England bowler after Darren Gough (235) to take 200 wickets in both ODIs and Test cricket during the rain-marred first one-dayer against India at Chester-le-Street.
With the 2012 World Cup Twenty20 just a year and nine matches away for England, Anderson said he is running out of time to convince the selectors.
"With a maximum of only nine T20 matches for England between now and the next World T20 (in Sri Lanka next September), time and games are running out for me to convince the selectors I still have something to offer," said Anderson, who has played 19 Twenty20 Internationals for England and picked up 18 wickets.
"I understood my omission from the World T20 in West Indies last year on tactical grounds and the variety offered by Ryan Sidebottom's leftarm seam and swing, and the reasons for my absence ever since," he added.
The Lancashire cricketer said he didn't have enough opportunities to prove his skills in the Twenty20 format and hoped to extend his ODI and Test form to the shortest version of the game as well.
"I can also see where they are going with this younger-looking team. But I do feel I can transfer the skills I've developed in one-day and Test cricket to the T20 arena and it's frustrating that I haven't had the opportunity to play any domestic T20 cricket in which to try to press my case," Anderson said