Rice was sent off during Arsenal's draw with Brighton for obstructing a Seagulls free kick.
Halsey wrote for The Sun: "Declan Rice's dismissal against Brighton was a poor decision by referee Chris Kavanagh.
"The Arsenal midfielder was shown a second yellow in the 49th minute for delaying a restart.
"However, the ball was rolling when Brighton’s Joel Veltman took the free-kick, so the restart would not have taken place as it would have been wrong in Law.
"Therefore, the delaying a restart does not apply.
"Kavanagh went looking for trouble and he found it.
"A referee of his calibre at this level should not be sending players off for this."