batsman vs baseball player

batsman and baseball player both are nouns.

Word	Noun	Adjective	Verb	Adverb
batsman	Yes	No	No	No
baseball player	Yes	No	No	No

As nouns, baseball player is a hypernym of batsman; that is, baseball player is a word with a broader meaning than batsman:

Other hypernyms of batsman include ballplayer.

batsman (noun)	baseball player (noun)
(baseball) a ballplayer who is batting	an athlete who plays baseball