"It's not acceptable. Week in, week out, we've had bad decisions. I mean, it is a bad decision. It's not the first time and probably won't be the last," Carroll told British media.
"I think he's trying to even it up... We could be third and flying. Now we're still fighting for fourth, fifth spot and we're slipping down by losing these points. It is just disappointing and there's nothing we can do about it."
Moss had earlier penalised Leicester's Wes Morgan for a pull back on Winston Reid, which allowed Carroll to convert from the spot to make it 1-1 before a stunning strike from full back Aaron Creswell put the visitors ahead.
The draw left sixth-placed West Ham seven points behind Arsenal, who are fourth and hold the final Champions League qualifying spot, with five games left.
Slaven Bilic's men host 12th-placed Watford at Upton Park on Wednesday.
(Reporting by Shravanth Vijayakumar in Bengaluru. Editing by Patrick Johnston)
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