Kristian Walsh of the Liverpool Echo reported the 21-year-old wishes to remain with his team, but his agent, Mehdi Hagitali, said his client could move at a later date.
I read about the interest in Sardar from Liverpool, but I can say that at present there have been no formal proposals from either foreign or Russian clubs.
Now his main goal is to become the best striker in the Russian Premier League.
[Rostov manager] Kurban Berdyev is like a father-figure, and he would like to work with the coach.
According to Walsh, the player is known as the "Iranian Lionel Messi," and has made a major impact at international level. Azmoun has scored 16 goals in 22 appearances for Iran since making his debut in 2014.
Jurgen Klopp is reviewing his attacking options after the long-term injury suffered by Danny Ings, and Azmoun was being considered as a target, per Walsh. The striker has had a quiet campaign to date, scoring only once, but last year he scored nine times in 24 games for his club.
Here is the player in action:
Russian football journalist Artur Petrosyan recently gave his opinion about the Iranian's link to Klopp:
Artur Petrosyan @arturpetrosyan
Azmoun could play any role in #LFC front three. Quick, good eye for goal, not greedy, tireless, pressing. Qs over mental strength though.2016-11-8 23:37:24
In other Reds news, target Mahmoud Dahoud of Borussia Monchengladbach has attracted interest from Bundesliga giants Borussia Dortmund, with BVB prepared to offer £12.8 million plus midfielder Nuri Sahin.
German newspaper Bild (h/t Uche Amako of the Express) reported Klopp's former team have constructed a player-plus-cash offer to tempt the Foals to sell the talent to them. Dahoud has a release clause which can be triggered for £8.3 million in 2017, potentially tempting Monchengladbach to sell early for a much higher price.
As Ings begins the long road to recovery again, the Reds need to spread the attacking duties out amongst the midfield and forward line.
Azmoun would be the perfect fit for the Anfield club as Klopp tries to add utility players that can supplement his tactics.
The comparisons between player and Messi might be wide of the mark in real terms, but Azmoun would bring energy and guile to an attack which needs additional recruits in January.