Sardar Azmoun didn't feel it was the right time to leave FC Rostov
Azmoun was linked with a move to Anfield in the January transfer window as well as a host of other clubs from Europe's top leagues.
The 22-year-old admitted back in December that he would be open to a move should an offer be put on the table.
Liverpool were monitoring a number of forward options in the last transfer window with Sadio Mane in action at the Africa Cup of Nations.
Azmoun played against Manchester United in the Europa League
Azmoun has scored 16 goals in 22 matches for Iran
And Azmoun has admitted he decided against pursuing Liverpool's advances because he wanted more regular first-team football.
"There was talk of Liverpool having expressed an interest in me during the winter transfer window," Azmoun told the Qatar Supreme Committee for Delivery and Legacy website.
"However, I did not feel the time to move was right.
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"I would have ended up playing a few games and then spent a great deal of time on the bench as Liverpool were only looking to fill a void for a particular part of their season."
Jurgen Klopp is likely to bolster his attacking options in the summer with more time to embed them into his team.
Germany international Julian Brandt has been strongly linked with a move to Anfield.