Roberto Mancini's men are languishing in 10th after a winless run of four saw them enter the international break on a sour note.
A club of Inter's stature should be challenging for the title, not scrapping in mid-table, and their plight is underlined by the fact 16th-placed Verona are just five points behind them.
"We have to deal with these remaining games as if our lives depended on it," he told Sky Sport Italia.
"If we're not able to get into Europe for next season then we'll be at the club's disposal if they want to shorten the holidays.
"The break has done us good…we've been able to rest mentally and training with conviction.
"The club is doing everything it can to take Inter back up where it belongs next season.
"We need our fans support on Saturday and I know they'll help us out."
You have to go back to mid-January to find Parma's last win in any competition - a Coppa Italia success, against Cagliari as well.
Parma's defence is the equal-worst in the league, having conceded 53 times, and while Inter have battled this term, they are still the fourth-highest scorers in the league.
Parma did beat Inter earlier this season, 2-0, thanks to Paolo De Ceglie's double.
