The former Scotland international has been impressed with the performances of Payet for France at the ongoing European Championship.
The 29-year-old former Marseille man has scored two goals and created 14 chances in two matches for host nation France at the Euro 2016 finals so far.
Former Liverpool and Rangers midfielder Souness has included Payet among the outstanding midfielders in the tournament so far.
The former Newcastle United manager has also suggested that the West Ham star could be the player of the tournament.
“He has established himself quite late in the France team,” Souness wrote about Payet in The Times. “He has come in as a surprise package, but there has been a lot and we are not surprised at the kind of goals he scores.
“Payet is a potential player of the tournament because he is a matchwinner in a team that could go a long way.”
Payet has been arguably the best player at the European Championship so far this.
The West Ham star was in great form last season, and he has maintained the momentum at the Euro 2016 finals.
The attacking midfielder scored nine goals and created 116 chances in 30 Premier League appearances for the Hammers during the 2015-16 campaign.