The 20-year-old only made the move to Carrow Road in August 2021, having joined the Canaries for a fee of around £9.5m from Greek side PAOK.
However, Tzolis struggled to make an impact at Norwich in the 2021-22 campaign, starting just three Premier League games in a total of 14 league appearances under Daniel Farke and Dean Smith.
The winger did net a brace and add two further assists in Norwich's 6-0 demolition of Bournemouth in the EFL Cup just 12 days after his arrival in Norfolk, but was used sparingly as his side suffered an immediate return to the Championship.
As a result of his lack of playing time this year, Tzolis is prepared to ask to leave this summer, according to Greek outlet Metrosport.
The report suggests that Belgian Pro League outfit Club Brugge are interested in acquiring the Greek international either on a loan deal or a permanent transfer, having been interested in a move for him 18 months ago.
Tzolis enjoyed a breakthrough season with PAOK in the 2020-21 campaign, netting 16 goals and registering 10 assists in 46 games across all competitions, which led to the first of his 13 caps for Greece in October 2020, aged just 18.