Monk has now urged Stroud to "see some sense" and review the incident before submitting his match report.
He told Sky Sports News: "The sending-off, which clearly isn't a sending-off at all.... hopefully the referee will see some sense and the authorities will rescind that red card, because it wasn't a red card at all.
"It's an honest challenge. If anything, Coutinho's feet were higher than ours and actually went in over the top of our player.
"I don't quite see how the referee saw that, but hopefully he sees sense and rescinds it."
The Swans had at one point looked on course for a quarter-final spot after Marvin Emnes fired the visitors into a 65th-minute lead.
However, Mario Balotelli came off the bench to poke home an equaliser four minutes from the end, before Lovren struck late to punish 10-man Swansea.