The former Atletico Madrid and Spain goalkeeper was drafted in by Granada as the replacement for Fabriciano Gonzalez, who was sacked in January despite guiding the club to consecutive promotions.
The 52-year-old Resino agreed a short-term deal until the end of the season and confirmed on Wednesday he would not be seeking to extend his stay.
"Cycles come to an end but good times are unforgettable," Resino said in a statement on his personal website, abelresino.com.
"In these last few months Granada, their fans and people, have filled me with fond memories that I will always carry with me."
In a statement on official website granadacf.es, the club thanked Resino for his contribution.
"Granada CF would like to thank Abel Resino for the technical work performed in our institution in recent months, and having achieved the goal for which he was hired," it read.
"The board of directors and all employees want to wish him all the best of luck in his future career."
Granada's La Liga campaign petered out amid a run of just two wins in eight games - including defeats in their final two outings - but they survived the drop in 17th place, a point clear of third-bottom Villarreal.