The striker is keen to leave Lazio this month following a disastrous spell in Italy and his stock remains high in Turkey due to his time at Fenerbahce.
The Yellow Canaries want Muriqi back and the player and his wife also want to return to Istanbul.
Muriqi though also has interest from Leeds and West Brom and, with Lazio keen to raise money, it is suggested that a move to England would be preferred as it would be better financially for the Italians.
While both sides would be eyeing loan deals for the striker – Leeds are claimed to have made progress in talks – any loan move could incur a loan fee, while Lazio are keen for an obligation to buy to be inserted, rather than an option.
It is unclear if Muriqi is willing to move to either English club as his preference remains Fenerbahce; Leeds would be able to offer Premier League football, while West Brom would mean dropping into the Championship.
Fenerbahce sit just fifth in the Turkish Super Lig table and want Muriqi to inject fresh life into their bid to push into the title race during the second half of the season.
The striker appears to have little future at Fenerbahce, but the jury is out on where he will be when the January window closes.
