The Russians caused a major upset when they edged past 2010 world champions Spain on penalties on Saturday to reach the last eight.
Samedov took part in a brief team discussion with coach Stanislav Cherchesov at the squad's base on the outskirts of Moscow before undergoing fitness tests and running through an individual training programme.
The 33-year-old has been a key player for Cherchesov's team at the tournament, playing in all three group matches and the 4-3 penalties win over Spain in the round of 16.
The hosts will be without injured midfielder Yuri Zhirkov against Croatia.
Russia, the lowest-ranked team in the tournament, have reached the World Cup quarter-finals for the first time in the post-Soviet era.
(Writing by Karolos Grohmann, editing by Ed Osmond)