Steven Gerrard recently took over at Rangers for his first managerial experience and is now looking for first club signings.
Betting company BetStars saythe odds are the striker will move to Ibrox, but there are more clubs interested in his services, including rivals Celtic.
"Solanke is odds-on at 8/11 to move to the Ibrox Stadium.
"Although the odds have the Gers as the runaway leaders for Solanke's signature, Leicester are also in with a shout of landing the 20-year-old at 3/1.
"Newly promoted Wolves and Cardiff City have also been linked with a move for the forward at odds of 4/1 and 8/1 respectively, whilst Newcastle are valued at 5/1 to sign the England international.