Is he a predicate singular direct or indirect pronoun?

The pronoun 'he' is a subjective pronoun, which functions as the subject of a sentence or a clause. The objective pronoun to take the place of a singular noun for a male is him.

The objective pronoun can be the singular predicate, direct or indirect object. Examples:

Direct object: We saw him at school today.

Indirect object: We made him some lunch. (We made lunch for him.)