Murphy's powerful strike pulled a goal back for United in their eventual 3-2 defeat to the Blues at Stamford Bridge, with the winger's shot arrowing into the top corner past Djordje Petrovic.
The goal is one of eight nominated for the award, with Murphy named alongside Marcus Rashford of Manchester United, Phil Foden of Manchester City and Dominic Solanke of Bournemouth.
Brentford's Yoan Wissa, Burnley's David Datro Fofana, Crystal Palace's Jean-Philippe Mateta and Fulham's Rodrigo Muniz are also included.
Newcastle fans can vote for Murphy by clicking here. Voting closes at 12pm BST on Monday, 8th April and the winner will be confirmed on Friday, 12th April.