Before football was suspended due to the coronavirus pandemic, Hagi had netted three goals in 12 appearances after joining on loan from Genk in January.
While Rangers have the option to secure a permanent transfer, reports have linked the Romania international with a future move to a bigger club.
Although the 21-year-old has hinted that he is focused on life in Glasgow, he has acknowledged that he is keen to play in La Liga at some point in his career.
Speaking to Marca, Hagi said: "Now I'm focused on being ready if the Scottish League returns.
"That's it. My future is handled by AC Talent. I love the style of play of La Liga, and I see myself playing there one day."
Ianis is the son of Romanian legend Gheorghe Hagi, who spent time at Real Madrid and Barcelona. body check tags ::