Despite four of his five PGA Tour wins coming in Ryder Cup years, Pettersson has never qualified for the European Team and is not eligible for the United States side either despite taking out US citizenship in January last year.
In 2006 he would have qualified for Ian Woosnam's team at the K Club if he had been allowed to rejoin the European Tour at the start of the selection process the previous year thanks to subsequent wins at the Chrysler Championship and Memorial Tournament.
And in 2012 his victory in the RBC Heritage, third place at the USPGA Championship and other results on the PGA Tour would have seen him in the 12-man team for Medinah through the world points list.
But speaking ahead of the Volvo World Match Play Championship in Bulgaria this week, Pettersson explained he is taking no chances this time around.
"I'm a member of the European Tour this year and I'm going to be a member next year," the 35-year-old said. "It was a bit of an unfortunate thing last year but I don't really regret or think back or anything like that. I hope to make that team some day and I think it would be great to play in the Ryder Cup.
"The Ryder Cup is phenomenal, it's great golf and great drama. It's probably one of the biggest sporting events in the world and I'd love to be part of that some day.
"It will be a challenge (playing the 13 European Tour events to fulfil his membership criteria) because I do play quite a bit in the US, about 28 events, so it will be a busy couple of years but I'm going to give it a shot anyway."
Pettersson, who could have been eligible for the US team if he had taken out citizenship before he turned 18, added: "I was very young when I left Sweden.
"I was 10 when I left Sweden and I still play under the Swedish flag. I know I'm Swedish but the majority of my life has been in America so I feel very American. Even when I was playing the European Tour I was living in the US.
"The European Tour has been very good to me, it's where I started my career and I think it was a great start and stepping stone in my golf career - and I still enjoy coming over here.
"It's just very difficult with two young kids and a wife to play both tours on a regular basis. I've mainly played in the US but hopefully I can start playing a little bit more on both tours."
As for this week, Pettersson is glad it is match play rather than stroke play given the spectacular but daunting Thracian Cliffs course on the edge of the Black Sea.
"It's a spectacular course for match play. I think if it was a stroke-play event I would be a little nervous right now," Pettersson said. "All the holes along the cliffs are incredible."
Graeme McDowell believes some holes are so difficult they could prompt "concessions in the middle of the fairway, here there and everywhere", while Australian Geoff Ogilvy - winner of the Accenture Match Play in 2009 - added: "I'm glad we are not adding them all up, I think there could be a few train wrecks out there with some pretty long grass.
"There will be a lot of birdies I think and quite a lot of 'others' (double bogeys or worse). It's a stunning piece of land, a bit like Torrey Pines. You're out on the cliffs and there's some extreme-type golf holes out there."
The first of the group matches take place tomorrow, with the remainder on Friday. The top two players from the eight three-man groups will advance to the knockout stages in the last 16.