The report claims that Hamburg are keen on signing the 1998 born youngster to their ranks.
HSV also recently signed another Süper Lig youngster. Nineteen-year-old Batuhan Altıntaş joined the Bundesliga outfit over the summer from Bursaspor.
Deniz can play on both wings and was scouted throughout the last season.
The 17-year-old has yet to represent the national team but recently signed a professional contract with Trabzonspor.
The Black Sea Storm finished last season in fifth place and are currently managed by Shota Arveladze who replaced Ersun Yanal over the summer.
Trabzonspor take on Macedonian outfit Rabotnicki in the Europa League play-off round this evening.