After a 2-2 draw at Chievo last weekend left the Zebrette in mid-table, Guidolin appealed for more recognition of his team's achievements in what he always said was going to be a difficult season following the sale of Mauricio Isla and Kwadwo Asamoah to Juventus in the summer.
Samir Handanovic and Antonio Floro Flores also left Udinese in July and Guidolin made no secret that a cycle had ended at the club and this season would be the beginning of a new one.
For it to be anywhere near as successful as the last one, he needs the 12th man in the stands to play his part.
"This Udinese side needs the support of the fans because it is new and young," he said.
"I think that this side has shown so far that it never gives up and that it needs warmth and support.
"I hope that my lads are still the pride of this region. Maybe the league position is different to how it was in the past, but that doesn't mean we must forget the efforts the lads put in every Sunday.
"I feel that the lads want to do well and improve and we hope that in the near future, (Roberto) Pereyra becomes like Isla, Allan like Asamoah and (Zeljko) Brkic like Handanovic, but even these names I have mentioned needed time to grow.
"That is why I am now asking for the same support for our current crop of players."
Parma coach Roberto Donadoni is not letting the current league position of either side influence his preparations for what he expects to be a very tough trip for his side.
"It's going to be a big test for us in Udine because, while it's true that Udinese have had a few problems with consistency so far, they are still a superior side to what the league table currently says," he said.
"If we give Udinese the same chances we conceded to Siena, then we are going to get punished.
"I have made this clear to everybody. Udinese have technically strong players and if you give them room to score, then only rarely they don't take it."