Both players have received their nominations for finishes in the 4-1 victory at Liverpool last weekend.
Park’s goal, City’s second, came as she danced through a compact Liverpool defence and tucked calmly into the corner.
Shaw’s unstoppable strike from range came just two minutes later and had City 3-0 up in 24 minutes.
The form of the pair has also seen them both nominated for the division’s Player of the Month gong for March.
After four wins from four across the month, City are top of the table having played a game more than defending champions Chelsea.
To win the award, Park or Shaw will have to see off six other strikes.
On the list are Hanna Bennison of Everton, Bristol City’s Megan Connolly, West Ham’s Viviane Asseyi, Lee Geum-min and Elisabeth Terland of Brighton and Chelsea’s Erin Cuthbert.
To vote for Park or Shaw, click here.
