Huth was shown a straight red card in the 45th minute at a wintry Britannia Stadium on Saturday afternoon following his sliding challenge on Meyler.
Referee Martin Atkinson's decision to dismiss the defender left Pulis enraged and asked after the game if he planned to appeal, the Potters boss said: "We will see. I think we definitely will."
Pulis criticised Meyler's reaction to the tackle, which he believes is the sort of thing Professional Footballers' Association chief executive Gordon Taylor needs to speak to players about.
"I have watched it twice now," Pulis said.
"Robert has committed himself and then pulled out of the challenge, and he hasn't touched the kid at all.
"The disappointing thing for me is - and it has become more ingrained in the game - is the reaction of the player. It is something I think Gordon Taylor and the PFA should really get to grips with.
"The game is difficult enough for the referees because of the pace and tempo at which it is played. Then you get situations when players are falling around and rolling around when they have not even been touched.
"We don't want to take challenges out of the game - we want to be as competitive and fair as we possibly can. But it is creeping into the game, where players I think are going down now with the intention of getting other players booked or even sent off when they have not really been hurt.
"I think it is something we seriously have to look at. For me, when players do that, it is cheating another professional and they are all part of the same union.
"I find that a disease that we should stamp out as quickly as we possibly can."
Referring to the incident, Sunderland manager Martin O'Neill said: "I haven't seen it back, but my initial view was that I thought it looked as if it was going to be a red card.
"Given the new directives that the referees have been given, I thought it looked that way - but I'm sure Tony will probably disagree."
The Black Cats went on to claim the win through a 60th-minute strike from James McClean, the winger collecting the ball from Stephane Sessegnon, evading Andy Wilkinson and Ryan Shawcross and slotting it past Thomas Sorensen.
O'Neill, who has now guided the Wearsiders to 22 points from a possible 30 since his appointment in December, was delighted to see his side keep their momentum going with a fifth victory in six league games - particularly given that it snowed relentlessly throughout the contest.
"Conditions, certainly in the last 20 minutes, were probably borderline in terms of the game keeping going, although I never for one minute thought the referee was going to stop it," O'Neill said.
"Naturally, I am delighted with them (his players). This would have been a big test for us anyway today [Saturday], but we hadn't taken the snow into consideration, so from that viewpoint, I am really pleased that we have won and collected these important points.
"There was a lot of snow on the pitch at the end. I didn't think the game was ever going to be called off - the conditions were good enough in the first half. But it was in the last 20 minutes of the game that it really started to lay."