The 23-year-old Scottish Cup and CIS Insurance Cup winner has gone away to recharge his batteries after a grueling season north of the border and will use the time to consider his options.
"I haven't made my mind up about my future," said Davis, who also helped Rangers reach the Uefa Cup final against to Zenit St Petersburg.
"It's difficult to comment on at the minute because I have to speak to Fulham and see what their thoughts are.
"All I will say is that I have thoroughly enjoyed my time here at Rangers.
"I think the club is on the up again, they are progressing well and if I'm part of it next season then that will be great."
He added: "I'm going away on holiday for a few weeks and I will try and have a break.
"It's been a long season and I will get something sorted out when I get back. My whole time at Rangers has been great.
"I wanted to win honours when I came on loan but you never really know how it's going to go.
"But I have made an impact and played a big part in the club's success and to end up with two trophies and having made a European final is a great achievement."




