The Swansea City loanee has, according to talkSPORT, previously attracted attention from the country's leading clubs, and after impressing during his time at the Liberty Stadium, they could rekindle their interest this summer.
Speaking to the South Wales Evening Post after his brace for the Swans in last weekend's 2-0 victory over Wigan at the DW Stadium, Sigurdsson explained: "I just want to play football. I'm very happy here at the moment and hopefully things will get sorted in the summer.
"I don't know what's going to happen. I'm concentrating on Swansea City and helping them stay in the league. This is what I've dreamed of since a little kid. I've got my chance now and hopefully I can keep on doing well."
Red Devils boss Sir Alex Ferguson has been heavily linked with a move for a number of midfielders as he looks to strengthen his Old Trafford ranks in the summer, while Gunners chief Arsene Wenger is also expected to bring a number of new players to the Emirates Stadium.
The 22-year-old has turned in a series of scintillating performances for Brendan Rodgers' charges, and is now determined to make his England return permanent.
"You're not going to turn down Premier League football when you're out of the side at Hoffenheim," he continued. "It's not up to me because I've got another two seasons at Hoffenheim but I don't want to sit on the bench there any longer.
"They were in contact a couple of weeks ago. I spoke to the manager briefly and he was going to speak to me again later this month."