The 10-man Foxes increased their lead at the top of the Barclays Premier League to eight points after Leonardo Ulloa's injury-time spot-kick rescued a 2-2 draw.
The hosts recovered after conceding twice in a breathless final six minutes to Andy Carroll's penalty and Aaron Cresswell's stunning volley.
Moss also sent off Jamie Vardy, who opened the scoring in a dramatic game, for diving and was given a security escort off the pitch at the end of the game after a string of controversial decisions
Ulloa scored after Carroll brought down Jeff Schlupp in stoppage time, but while Bilic sympathised with Moss he insisted he was wrong.
He said: "I'm not eagle-eyed, I'm not an ex-referee, I'm not Howard Webb, I'm a football coach and I don't want to talk about that.
"On the contrary I would like to say it's hard for him. Not only here but here you have 32,000 people screaming at every contact in the box, every long ball in the box. If it's for the home side it's a penalty or handball
"If it's in the other box it's cheat, dive or whatever. It's hard, it's extremely hard for him a nd the game went like crazy and they were losing and so it was extremely hard for him
"It's easy now to say that the refs shouldn't get influenced by the fans. On paper it is easy to say that. Actually it's real life.
"Of course it's not a penalty."
Source: PA