Kanchelskis, who is now in charge of Russian Premier League club Volga Nizhny Novgorod, has advised Traore to move to Anfield.
"Traore has all the attributes, height, technique, speed, in order to start playing in England," he told Izvestia.
"For Liverpool, he would be a good buy, especially givent the current state of affairs in the team."
Kanchelskis does not think Traore should pass the opportunity to play for Liverpool.
"In any case, if he receives offers from Premier League teams and especially from Liverpool, he has to go.
"In spite of the last games of Anzhi, we should not compare these clubs, as it is not necessary to compare the level of the championship.
"How much have Liverpool won in their history? And how much have Anzhi won? Let's not talk about it, it's ridiculous."