A football coach is happy to work with African American players, but feels that white fans will accept only a certain percentage of people of color on the team, thus affecting his hiring practices. According to sociologist Robert Merton's typology of prejudice and discrimination, this coach is a (n) :

Unprejudiced Discriminator

Explanation:

According to the theory of Robert Merton's typology, people are characterized as either prejudiced or they are unprejudiced. And also they either do discriminate or they do not discriminate others. This reality results in four types of predictable behavior.

An unprejudiced discriminator have no preconceptions of their own, but they do discriminate sometimes when it is convenient for them to do.

In the context, the football coach thus have no prejudice about the African American players but discriminates by saying that the fans might accept only few people of colors to be hired for the team.

Hence the answer is - - Unprejudiced Discriminator