In a heated 1-1 draw between the sides at Anfield on Saturday, the France international revealed that the visiting attacker was trying to wind him up, and used racist language that he found offensive.
Suarez has denied the accusation, but Ferguson has confirmed that Evra wants to see this through.
“I spoke to Patrice today. He is adamant he wants to follow it on,” the Scottish coach told reporters ahead of the Champions League game with Otelul Galati.
“It is not an easy one for us. Everyone knows Manchester United and Liverpool have great responsibilities in terms of things that happen on the field.
“Saturday was terrific. Both sets of fans were good. There was not any of that silly chanting we have had in previous years. Both sets of fans deserve praise for that. It is not something we would want to level against Liverpool and it is not against Liverpool.
“Obviously Patrice feels very aggrieved at what was said to him. It rests in the hands of the FA now,” Ferguson continued.
Ferguson also confirmed that Evra would be fine to face the Romanian champions on Tuesday night, as the FA investigate the incident further.
By Gareth McKnight