The 21-year-old striker, who currently plies his trade for Lokomotiva - on loan from Dinamo Zagreb - has been earning rave reviews in Croatia this season after a series of impressive performances.
Currently top scorer in the Prva Liga with 15 goals, Kramaric has attracted admiring glances from the Premier League with west London rivals Fulham and Chelsea both believed to be monitoring his development.
Blues owner Roman Abramovich is always on the lookout for the brightest up-and-coming talent, and is reportedly keen to bring the Croatian U21 international to Stamford Bridge.
However, Chelsea will face stiff competition for the Dinamo Zagreb loanee's signature, with CSKA Moscow a favourable option for Kramaric, according to Amir Ruznic.
"I can't hide it - we have a lot of offers for Andrej," he told Izvestia. "Many well known European clubs wants him and he really wouldn't mind if he would move to Russia.
"The Russian league has developed a lot in recent years and is right now one of the best in Europe. But it is too early to talk about all this.
"Andrej is only thinking about how to score many goals as he can until the end of the season. Then we will see what will happen."
Chelsea strengthened their front line with the January addition of Demba Ba, and also have Romelu Lukaku to return from West Brom this summer, but might look to provide further competition for Fernando Torres by recruiting Kramaric ahead of the 2013/14 campaign.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: http://gms.to/writeforgms