Apkhazava () is a Georgian surname. Notable people with the surname include:
Iakob Apkhazava (born 1991), Georgian professional footballer Shalva Apkhazava (1980–2004), Georgian professional footballer Taymuraz Apkhazava (born 1955), Soviet Greco-Roman wrestler who was born in Kutaisi, Georgia Vladimer Apkhazava (born 1976), Georgian educator