The Dane has been struggling to get regular first-team football at Schalke and is ready to leave the club in January.
“There is no future for me at Schalke,” said Lovenkrands in The Sun. “Hopefully something will happen in January.
“There was a lot of talk about me returning to Rangers last summer.
“It didn’t happen, but I would love to go back there.
“Of course, if the opportunity arose again, I would be delighted.”