The midfielder leaves the Hoops after failing to force his way into boss Neil Lennon's plans, having spent the first half of last season on loan to La Liga outfit Real Zaragoza.
Juarez joined Celtic after impressing for his country in the 2010 World Cup, making 20 appearances and scoring two goals during his time in the east end of Glasgow, and he said: "In my experience there were very good moments and a few that were not so good. In the end I don't consider it a disappointment."
He added: "The coach, Neil Lennon, is always seeking changes and I was among them.
"He changes the players and for the beginning of the second part of the season the team started to work, so that wasn't good for me."
A statement on the club's official website added: "Everyone at Celtic would like to wish Efrain every success in his future career."