The former Ivory Coast international defender put pen to paper on a new one-year deal last month, as reported by BBC Sport.
"I think he's a true professional," former Liverpool defender Wright told the club’s official website.
“(He) does everything that's asked of him, plays at right-back, centre-half, sweeper, wherever, he gives his all. He comes across as a fantastic pro and a nice man.
“You need to be giving that experience out and giving an opinion and he seems to me one of these people who are liked in the dressing room and that's important as well.”
Toure has been playing in the Premier League for over a decade, having joined North London outfit Arsenal back in 2002.
With the Gunners, the centre-back won the Premier League once and the FA Cup on two occasions.
The former ASEC Mimosas star moved to Manchester City in 2009 and enjoyed trophy success yet again.
Toure was part of the City side which won the FA Cup in 2011 and the Premier League a year later.
The Ivorian has been playing for Liverpool since 2013, and he remains a player who can be relied upon to get the job done.
The 34-year-old will not be playing regularly next season, but he can give valuable cover during injuries, suspensions and poor form.