Van Gaal labelled compatriot Van Persie "stupid" after his celebrations in scoring a dramatic late equaliser for Manchester United in their 1-1 draw at home to Chelsea.
Fellaini signed at the start of the Moyes era for 27.5 million pounds, was a convenient scapegoat last season as United endured their worst season in the Premier League.
"We are not happy with a point," the Chelsea coach said after conceding a late equaliser at United on Sunday.
Van Persie scored in the fourth and final minute of injury time to earn Manchester United a 1-1 draw with leader Chelsea at the Old Trafford.
Costa has overcome his hamstring problem and illness and is likely to be in Chelsea's starting squad against Manchester United in the EPL at Old Trafford on Sunday.
Chelsea have won 14 of their last 39 visits to Old Trafford, also drawing 16 times, and Mourinho's men appear to continue their proud record this weekend.
Chelsea will be seeking to extend their unbeaten run from the start of the season to 13 matches and seven straight wins in all competitions.
Fernandes began his career at Gremio before joining the Russian club in 2012. He earned his first international cap in Brazil's 4-0 victory over Japan earlier this month.
Van Gaal says the visit of Mourinho and his Chelsea side to Old Trafford on Sunday will be extra special for the Manchester United manager.
Diego Costa, Ramires and John Mikel could all return to the Chelsea squad for their Premier League clash with United at Old Trafford.
After being released by Manchester United at the end of last season, the 35-year-old defender has struggled to make an impact at Queens Park Rangers.