The Gunners are hoping to complete a signing in the January transfer window and they have been linked with Spanish centre-back Pablo Mari.
But the deal with Brazilian club Flamengo has hit a few snags, which has lead to frustration among supporters.
Edu's son, Luigi Gaspar, has a Twitter profile that has received some unsavoury comments from Gunners fans.
They include comments such as "your father is a fraud" and "your dad is s**** mate" and "f*** your father Edu."
It is unclear how Edu feels about his son being targeted by a small albeit vocal minority of fans.