major-league team
major-league club

He pitched for his high school baseball team well enough to attract offers from several major-league teams.

We watched several major-league teams play at the training camps surrounding Miami.

It's a compliment to the owners of the major-league teams.

The Yankees work as hard as any other major-league team.

Almost all players, whether or not they play college baseball, will spend several years in the minors before making a major-league team.

What can you do for a major-league team now?

Or another of the major-league teams that have pursued him?

At least one major-league team has seen the virtue in this.

The negotiations with major-league teams dragged on for months, into late November.

With these events, the number of major-league teams competing for players rose from six to thirty in just seven years.