The Borussia Monchengladbach midfielder is out of contract at the end of this season.
Zakaria in action for Gladbach
However, El Nacional claims the Switzerland international wants to move to Anfield, and former Reds and Germany midfielder Hamann thinks he would be a good addition to Klopp's squad.
"I think he could be a player for Liverpool, he's a player that has a great engine on him and he could play a more defensive role if Fabinho was missing.
"He can also play in a more attacking role, so he could be a player that would be a good fit, but he's definitely someone who could make the move to the Premier League in general.
Still yet to hit his prime, suitors believe Zakaria has potential to take his game to the next level.
Oxlade-Chamberlain has performed well in midfield
Zakaria is a well-establish footballer at both domestic and international levels, having won 118 Bundesliga appearances and 38 caps for Switzerland.
Klopp lost Gini Wijnaldum on a free transfer last summer and would be open to recruiting another midfielder for his squad.
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