Etebo spent the second half of last season on loan at LaLiga club Getafe.
The 24-year-old scored one goal in 10 league appearances for the Azulones.
According to reports in Turkey, Galatasaray and Stoke City have reached agreement on the deal.
A popular figure with the fans, Etebo found himself surplus to requirement under Michael O’Neil and has failed featured in all of the Stoke City’s pre-season games.
The 24-year-old joined Stoke City from Portuguese Primeira Liga club CD Feirense in 2018.
He scored twice in 45 league appearances for the Potters.