Many Twitter users have condemned the tweet, with some urging Federation Internationale de Football Association and UEFA to take action.
Spartak Moscow are embroiled in a fresh racism row after sending a tweet about three black players.
"For Russia's biggest club to tolerate and then celebrate racist references of this kind is wrong", FARE executive director Piara Powar said in a statement.
The incident comes just six months before Russian Federation hosts the World Cup, and is the second alleged incidence of racism in which the club have been involved this season.
They were sanctioned for Islamophobic chanting recently but clearly the message has not reached the players or the club management.
A video posted on the club's Twitter account showed Brazilian players Luiz Adriano, Pedro Rocha and Fernando exercising during a training camp in the United Arab Emirates.
"It is a reminder that, along with the whole of football, there is significant work to do to eradicate racism of all forms from the sport".
They are also now being investigated by UEFA over allegations that Reds youngster Rhian Brewster was racially abused during a UEFA Youth League match at the Spartak Academy in Moscow back in December. They had to partially close their academy stadium, leaving 500 seats empty, for the next Youth League fixture.
Last month, Spartak defender Leonid Mironov was charged with racially abusing Reds striker Rhian Brewster after an incident during the return Uefa Youth League game between the sides at Prenton Park. A date has yet to be confirmed.
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