Albert Stuivenberg has left his position as Wales assistant coach.
Stuivenberg and Giggs previously worked together under Louis van Gaal at Manchester United from 2014 to 2016.
"It has been an honour to be part of the coaching set-up with Wales," said Stuivenberg, 50, the former boss of Belgian side Genk.
"It has been an exciting period in the history of the game and I have learnt a lot both on and off the field. I thank all the players for the hard work and the incredible, passionate supporters."
Giggs is on leave from his position as Wales manager after being charged with using controlling behaviour and assaulting his ex-girlfriend and her sister, charges he denies.