The Grifoni lost 3-0 at Cagliari last weekend to spoil Pasquale Marino's first game in charge.
Marino replaced Alberto Malesani, who was sacked after Genoa's 6-1 defeat at Napoli before the winter break.
Genoa have lost five of their last seven games and lie 12th in the standings.
"I'm not happy with this season's trend," Preziosi said. "I'm not pleased with certain performances handed in by the team.
"I want my players to go on the pitch with the calm that our current position in the standings gives us in order to try to fight for every ball.
"I know they can and must give me more. I expect a reaction on Sunday."
Udinese travel to the Luigi Ferraris stadium looking to bounce back from their midweek Coppa Italia elimination at the hands of Chievo.
Francesco Guidolin's side lost 2-1 to Chievo on Wednesday having previously beaten Cesena 4-1 in Serie A last weekend.
The result against Chievo marked Udinese's first defeat at the Friuli stadium since losing to Arsenal in August's Champions League preliminary round.
"Sooner or later it was bound to happen," Guidolin said. "We are disappointed that we were eliminated from the Coppa Italia but it can happen that we lose a game.
"We made some serious mistakes against Chievo, including conceding a goal in injury time.
"Now we must put this disappointment behind us and focus on our next game."
Udinese are third in the standings, two points behind Serie A leaders AC Milan.