Shomurodov, 25, joins the Serie A side for a reported fee of around €8m.
Спасибо за все, Элдор!
Между «Ростовом» и итальянским клубом «Дженоа» достигнуто соглашение по трансферу нападающего.
Желаем тебе удачи, Элдор!
— Football Club Rostov (@rostovfc) October 1, 2020
Last season, Shomurodov scored 11 goals and contributed seven assists in the Russian Premier League for Rostov.
In the new RPL season, Shomurodov has failed to find the net in eight appearances but Genoa have bet on him.
Shomurodov joined Rostov from FC Bunyodkor in 2017 and made a total of 91 appearances.
His move to Italy is a big moment for Uzbek football, where many of its stars play locally or in Asia.
Shomurodov has been prolific for his national team, scoring 20 goals in his 40 caps.