An oven appliance and flame arrester therefore are provided herein. The flame arrester may include a first member and a second member. The first member may extend in a lateral direction along a portion of the opening. The first member may define a chamber aperture extending along an arrest axis in fluid communication with the cooking chamber. The second member may extend from the first member and away from the cooking chamber. The second member may define an intake aperture extending non-parallel to the arrest axis. A fluid passage may be defined between the first member and the second member in fluid communication between the intake aperture and the chamber aperture.