Guardiola was critical of the low attendance from City fans during the 4-0 win at Craven Cottage.
"I was disappointed and don't see what Pep is trying to achieve," Parker said. "He's playing into the hands of the "Emptyhad" critics. It really peeves me.
"We feel unjustifiably criticised by other clubs, so for our manager to have a go at us as well makes it worse. I'd suggest he's not in touch with the financial reality facing football fans.
"Pep has to accept that this is a working class group of supporters who spend a lot of their money on football, so stop beating us up about it."