William Arthur Goebel (June 24, 1887 – February 15, 1960) was an American football player. He played college football at Yale University and was a consensus selection at the guard position on the 1908 College Football All-America Team.
Goebel was born in Cincinnati, Ohio, in 1887. He was the son of Justus Goebel, the owner of a wholesale and retail carpet business known as Lowry & Goebel. Goebel received his preparatory education at Union High School in Phoenix, Arizona, and in private studies in Cincinnati. He attended college at Yale University, where he was a member of the football, track and wrestling teams. As a guard for the Yale Bulldogs football team, he was a consensus first-team selection for the 1908 College Football All-America Team. He also won wrestling championships in 1907 and 1909 and was elected president of the Wrestling Association during his senior year. He was a member of Delta Kappa Epsilon while at Yale.
He died in 1960.