Now 32, the midfielder joined the club as a teenager in 1995 and has been there for the last 14 years, making over 300 appearances for the club.
But now Angulo is finding it hard to get into the first team so he would like to resurrect his career in another country.
His agent, Jose Luis Tamargo, believes an agreement will be reached.
"He has been in Valencia for many years and I believe this solution is favourable for everyone," he said.