major-league team vs major-league club

major-league team and major-league club both are nouns.

Word	Noun	Adjective	Verb	Adverb
major-league team	Yes	No	No	No
major-league club	Yes	No	No	No

As nouns, major-league team and major-league club are synonyms defined as:

major-league team and major-league club: a team that plays in a major league

major-league team (noun)	major-league club (noun)
a team that plays in a major league	a team that plays in a major league