West Brom have sacked Nicolas Anelka citing "gross misconduct" after the striker claimed on Twitter he had quit the club.
Mauricio Pochettino expects to be at Southampton next season and is looking forward to working with chairman Ralph Krueger.
The 23-year-old Hungarian joined the Hammers in February 2009, initially on loan, from Ujpest FC.
He made his only first-team appearance as a substitute in a 4-0 Premier League defeat against Manchester United the following December.
A knee injury ruled Kurucz out of the entire 2010/11 season but he returned to action this term and made 11 appearances on loan at League One Rochdale.