The 27-year-old full-back saw out the 2013/14 campaign on loan at West Ham United after being deemed surplus to requirements by Rafa Benitez.
No permanent move to Upton Park has been discussed and Udinese have taken up the option of reacquiring his rights from Napoli.
Armero, though, hopes that his performances at the World Cup will have sparked interest and that he will be climbing up the Serie A ladder before the summer is out.
He told Gazzetta dello Sport: “I’ve never been liked by coach Rafa Benitez. I don’t know the reason why.
“I was sure that I would remain there and I that I would have signed permanently at Napoli. I expected a call from Napoli officials.
“Now my dream is to play for a big side in Italy.
“Milan, Inter and Juventus always need players with my characteristics.”
Meanwhile, Napoli have completed the signing of French defender Kalidou Koulibaly from Genk on a five-year contract.
He told the club’s official website: “I’m really happy to have joined Napoli, an important club with a big project.
“I’m ready for this adventure. I’m looking forward to starting with my new team-mates and taking in the emotion of playing at the San Paolo Stadium.”