Guidolin's men have lost their last three league games and head into this weekend's match at the Ennio Tardini stadium in 15th position, three points clear of the drop zone.
However, the Bianconeri showed an improved performance in Wednesday's 2-1 triumph at AC Milan, which earned them a place in the semi-finals of the Coppa Italia.
"It was important for us to win this game and progress to the semi-finals of the Coppa Italia," Guidolin said.
"It's not easy to play against Milan at the San Siro and come out with a win, but we did that.
"This team need to feel psychologically free from pressure to give their best.
"Of course, I would have preferred to have qualified for the last four of the Coppa having a few more points in the standings.
"Now we must focus on Parma. I hope this victory will give my players a big boost in confidence."
Udinese have won just two of their last 10 league games, and last weekend's 3-2 loss to Lazio again highlighted their problems at the defensive end.
The Friuli outfit have conceded nine goals in their last three league games.
Udinese can expect a tough test in Parma, with the Ducale club aiming to continue their impressive start to the new year.
Last weekend's 2-1 win at Chievo was Parma's third successive victory and lifted the Gialloblu to eighth place, three points adrift of Inter Milan, who hold the last Europa League qualifying spot.
Parma have scored eight goals and let in just two in their last three league games.
Coach Roberto Donadoni could hand Jonathan Rossini his Parma debut this weekend with defender Alessandro Lucarelli suspended.
Rossini joined Parma this week from Sassuolo.