The two sides meet at the Stadio Olimpic to play a match that was originally scheduled for February but was called off due to a waterlogged pitch, the referee stopping play eight minutes into the contest.
Garcia's side is second in the standings and can pull to within eight points of leaders Juventus - who lost for just the second time this season against Napoli on Sunday - if they win in Rome.
"Until the numbers don't condemn us, we will continue to fight and put pressure on Juventus," Garcia said. "We now have an opportunity to reduce Juve's advantage and we must make the most of it."
Sunday's 2-0 win at Sassuolo was Roma's fourth straight victory.
Roma captain Francesco Totti and midfielder Rodrigo Taddei are expected to return to the starting line-up after both came on as substitutes in the second half against Sassuolo.
However, Roma are without midfielders Kevin Strootman and Radja Nainggolan, the former injured and the latter suspended.
Parma coach Roberto Donadoni has told his players to forget the disappointment of last weekend's 3-2 defeat at Lazio.
"We are well aware we should have beaten Lazio," Donadoni said. "We were naive and our mistakes cost us dearly.
"We must move on because on Wednesday we face another difficult game.
"Against Roma, we need to make sure we impose our play and limit the mistakes that we made against Lazio."
Parma lost 2-1 in their previous game at Juve and are now winless in their last three matches.
Parma are sixth in the standings, two points behind Inter Milan, who are fifth and hold the last Europa League qualifying spot.
Former Roma striker Antonio Cassano, Parma's top scorer with 11 goals in 29 league games, is doubtful having sustained a right ankle sprain against Lazio.