The Nigerian striker got a goal in Saturday's win over Norwich City in the FA Cup.
It meant Ighalo had scored in each of his four competitive starts for United.
And that is equal to the mark set by Jimmy Hanson in 1925, according to OptaJoe.
Ighalo arrived from Shanghai Shenhua in January as a deadline day signing and has proven value for money.
His loan was extended this summer to January 2021.