The 18-year-old is set to leave the Reds when his contract expires in the summer and a host of clubs have been linked with the winger.
“Fulham have shown an interest in Gary and they have invited him down to London next week to have a look at him,” the player’s agent David Threlfall told skysports.com.
“I believe a number of other clubs are keeping tabs on Gary and we will see how things go at Fulham.”