According to the Guardian, the Eagles have enquired about the availability of the central defender, with several other European clubs also interested.
The 21-year-old spent the second half of last season on loan at Liverpool, playing sporadically in an injury-ravaged defence.
His parent club finished rock bottom of the Bundesliga and are looking to raise funds to rebuild, hence why Kabak is available for transfer.
For Palace, Kabak fits the blueprint of their youthful revolution taking place under Patrick Vieira.
Steve Parish and the rest of the Palace board have shown they are not holding back when it comes to transfers, with the club trying to replace the core members of the squad who have departed this summer.
With Patrick Van Aanholt's move to Galatasary confirmed yesterday, Palace really need to add depth in defence.
The interest in Kabak is definitely understandable as Palace look for a new dominant center-half.
What can Kabak bring to the Eagles?
Kabak's pace and ability to play out from the back are sure to be huge assets for Palace if they were to secure a deal.
The Eagle's ageing defence was a real problem last season.
Kabak would solve a large part of that problem. With just under 90% passing accuracy from his spell at Liverpool, it was clear that where he may lack physicality, he makes up for it with his play on the ball.
At just 21-years old, Kabak has experience playing in three top European leagues and just represented his country at this Summer's European Championships.
The only question mark around this deal is the fact that Palace have already spent big on two central defenders.
With Guehi and Andersen already in, Kabak wouldn't necessarily be a guaranteed starter. This may be something he considers when weighing up his options.
The Guardian is reporting that the Turkish defender could be available for as little as £10-12m.
For Palace, this would be a fantastic deal, with funds needing to be available for further investments down the line.
Reports suggest the likes of Leicester City & Sevilla are both very interested in the signature of Kabak, with both clubs offering European football.
Should Kabak opt for a move to Selhurst Park, the Eagles will be adding another talented young defender to their new core.
The new reign under Patrick Vieira has certainly sprung into life, with Palace fans having plenty to be excited about with the new season only a few weeks away.