Rada has been sacked by the Czech football federation, while Ujfalusi has resigned.
Goal.com Germany quote Ujalusi as saying, "I cant play anymore for the Czech team in this circumstances produced by the medias and the federation.
"Therefore I wont play for Czech anymore."
Ujfalusi was subject to unrelenting flak following his (and his team-mates') decision to visit a pub following the recent defeat to Slovakia.
It was a result that could seriously jeopardise the nation's chances of qualification to South Africa in 2010.
Ujfalusi received 78 caps while on international duty. He currently plays for Atletico Madrid.
Alan Dawson, Goal.com