Reports over the winter transfer window suggested that Arsenal and Mikel Arteta were hoping to seal the defender's signature for a deal reported at around £6 million.
Arsenal was initially looking to sign Kurzawa in the summer when his contract at PSG runs out, but Thomas Tuchel expressed his desire to keep the left-back as part of his plans and the France international stayed put.
Currently, the versatile James Milner is providing Liverpool with a back-up at left-back and luckily first-choice Andy Robertson has managed to stay fit for the majority of the season.
However, Jurgen Klopp could look to strengthen his options in that position in the next transfer window with Spanish publication Sport claiming that Liverpool have entered the race to sign Kurzawa on a free transfer.