Answer: The correct sentence is "No one I know is a better quarterback than him."
Explanation: Nominative pronouns function as the subject of the sentence. This is why they are also known as subjective pronouns. Common nominative pronouns are I, you (both singular and plural), he, she, it, we, they and who.
Objective pronouns are used when something is being done to the subject. Common objective pronouns are me, you (both singular and plural), him, her, it, us, them and whom.
In the given sentence, the correct pronoun is "him". It is an objective pronoun.
"He" can also be used, but to make the sentence sound less ambiguous, it must be written as "No one I know is a better quarterback than he is." It must be noted that "he" is a nominative pronoun.
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