McCarthy cut a disappointed figure after seeing his side lose a lead from a seemingly commanding position.
The Tykes secured their first away point of the season when Jim O'Brien capped an impressive cameo performance with an equaliser after Daryl Murphy had given Ipswich a first-half lead.
Barnsley could have left Suffolk with all three points after Jason Scotland and O'Brien spurned good chances late on.
McCarthy said: "I think they should put a bit of pressure on us. We should be in a better position and we have not played well in the last two games.
"I am disappointed as we were all right in the first half but they turned it around on us in the second half.
"I will look at the reasons why, but in the end I have to be happy with the point as we could have lost that match."
And McCarthy had no complaints with the penalty appeal, adding: "I have not seen an angle where it looks like a penalty.
"We suddenly had five or 10 minutes where we were baying for blood and anywhere in the world would have shouted for a penalty. But it was not for me."
- Sports & Recreation