The Trabzon based outlet Trabzon Gunem have reported that the 21-year-old is open to move to Trabzonspor.
The daily newspaper Milliyet has also reported that the Liverpool youngster is on Trabzonspor’s radar.
Yesil is known to be a Trabzonspor fan spent his summer break in the Black sea region in Turkey.
The Germany u19 international is currently on loan at the Swiss Super League side FC Luzern who are managed by the former Liverpool defender Markus Babbel.
The young striker joined Liverpool from the Bundesliga side Bayern Leverkusen back in 2012 for £1 million.
Yesil has made two assists and has found the back of the four times in 13 appearances for Luzurn this season.
Trabzonspor have endured a difficult season and are looking to revamp their squad ahead of the next campaign.