I would split your Matchup table into two: Matchup proper and MatchupDetails.
The Matchup table would have a MatchupID column as its primary key.
The MatchupDetails one would consist of at least two columns: MatchupID to reference the Matchup table and TeamID to reference the Team table (you do have one, don't you?). The two columns would form the table's composite primary key.
Finally, there would be this Pick table. Since you've got multiple users (as per one of your comments), there would need to be a UserID reference. Two more columns, MatchupID & TeamID would serve as a composite foreign key referencing the corresponding column set in MatchupDetails. And to ensure that one user can pick no more than one team from a match-up, a composite primary key of (UserID, MatchupID) should do.
To summarise, here's a complete outline of the relevant part of the schema:
Matchup:
MatchupID
PRIMARY KEY (MatchupID)
 
MatchupDetails:
MatchupID
TeamID
FOREIGN KEY (MatchupID)
FOREIGN KEY (TeamID)
PRIMARY KEY (MatchupID, TeamID)
 
Pick:
UserID
MatchupID
TeamID
FOREIGN KEY (UserID)
FOREIGN KEY (MatchupID, TeamID)
PRIMARY KEY (UserID, MatchupID)