Prandelli, 56, took on the role in 2010 and guided Italy to the UEFA Euro 2012 final, where they were beaten 4-0 by Spain.
However, the Italians bounced back to qualify for next year's tournament in Brazil, with Prandelli leading them through the campaign unbeaten to finish six points clear of second-placed Denmark.
The former Fiorentina boss has recently been linked with a return to club management following the tournament, with reports suggesting Roberto Mancini or Massimiliano Allegri could be in line for the national hot seat.
"I like a lot of coaches,” Abete told Sky Sport Italia. "However, I like Prandelli more than anyone else.
"I hope that he stays as the head coach after Brazil 2014.
"If our relationship doesn’t continue then I won’t speak with any other coaches until Prandelli’s departure is made official."
However, earlier this week, Juve director general Beppe Marotta moved to quash rumours Prandelli could replace Antonio Conte, saying: "There is no truth in the thinking that we are looking for a new coach.
"The Cesare Prandelli rumours are without foundation."
