He played college football for the Oklahoma State Cowboys, and was selected by the Cleveland Browns in the second round of the 2016 NFL draft.

Ogbah was born in Lagos, Nigeria and moved to Houston, Texas, in the United States at the age of nine.

[12] Ogbah was traded to the Kansas City Chiefs on April 1, 2019, in exchange for safety Eric Murray.

[13] In Week 3 against the Baltimore Ravens, Ogbah sacked Lamar Jackson 1.5 times as the Chiefs won 33–28.

[16] In Week 5 against the 49ers, Ogbah recorded a strip sack on C. J. Beathard late in the fourth quarter which was recovered by the Dolphins to secure a 43–17 win.

[17] In Week 9 against the Arizona Cardinals, Ogbah recorded a strip sack on Kyler Murray which was recovered by teammate Shaq Lawson who returned it for a 36 yard touchdown during the 34–31 win.