Ipswich Town midfielder David Norris has been criticised for dedicating his goal in Saturday's 1-0 win at Blackpool to Luke McCormick.
The 26-year-old has admitted the gesture was a "private" message intended for his former Plymouth Argyle team-mate, who is serving seven years and four months in prison for causing the deaths of Arron Peak and his brother Ben.
Amanda Peak, the mother of the two young boys, said: "I'm disgusted. To celebrate a goal like that is disrespectful to me and my husband and my boys. He should be given a ban by his club.
"Norris is doing this in front of thousands of supporters, including children, and sending out the wrong message that we can drink and drive and it's OK to kill someone."
Norris has apologised for causing offence, admitting: "It was a private message but I can see how people might have seen it like that and I apologise if it's caused any offence.
"Luke is a friend of mine. He made a massive mistake and is paying for that."
The FA have confirmed that they have written to Norris to ask for his explanation of the incident.