It was reported last month the Reds were set to hold talks over the prospective signing of Zielinski, the 21-year-old who is on loan at Empoli from Udinese.
And on Monday he was quoted by Polish media outlet Sportowe Fakty as saying: "There is a lot of truth in (talk of) the interest of (Liverpool boss) Jurgen Klopp in me
"There was contact, I do not deny that."
Zielinski, on loan at Empoli last season as well as this, on Sunday scored in their 2-0 Serie A victory over Fiorentina.
He has 13 caps for Poland and is set to be part of their squad for Euro 2016.
Source: PA