Cheukoua, 22, is currently playing at Austrian football club SC Wiener Neustadt.
Cheukoua started his career at Cameroonian football club Canon Yaoundé.
Former Esteghlal striker Kweuke is also linked with a move to Persepolis.
The 32-year-old Cameroonian forward has most recently played at Turkish Club Çaykur Rizespor.
Kweuke played in Iranian football clubs Esteghlal and Steel Azin from 2006 to 2008.