The USA international hit a very late goal in the 1-0 victory over Celtic at Ibrox in February 2010 which he admits was a 'great moment' but insists he wants to be remembered for more than that as he has so much more to offer.
"I don't want to be just remembered for that goal. I want to score more Old Firm goals and more big goals for the club," he told the Daily Record.
"For me that was obviously a great moment and something I'll always remember but I want to add more to that and have more moments I really remember and cherish.
"I want to be remembered for that but in addition I want to do other things that will help the club succeed.
"The fans do get on your back but it's because you play for a club of Rangers' size with the history and tradition of winning. It means expectations are high."
As for sometimes being the Rangers' fans whipping boy, Edu can understand that playing for such a famous club has its burdens.
"The fans demand the best out of every player," he added.
"They demand wins from the team. If that's not happening or performances aren't going the way we all want then sometimes that can happen."