The former Reds striker is the latest in a series of footballing figures to make a stand against the hostilities, saying the issue is "more important than football"
The two were involved in a race storm when the teams met last season, resulting in Suarez being banned for eight games for racial abuse.
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The game is the first since the publication of the Hillsborough report, and amid calls for offensive chants between the clubs' fans to stop, Fowler is the latest prominent figure to call for peace.
"The Suarez-Evra incident overshadowed a lot of stuff last year," Fowler told BBC Radio 5 live.
"It would be nice for Luis Suarez to put some flowers towards the Manchester United end regarding Munich, and maybe for Patrice Evra to lay some flowers at the Kop end.
"The two clubs do have a rivalry, but some things are far more important than football and this is one of them. Both clubs have a respect for each other, for what they have achieved in the game."