South African referee Daniel Bennett stole the headlines of the keenly contested tie in Kampala after denying the Black Stars a goal in injury time.
FC Zurich striker Raphael Dwamena slotted home a rebound after goalkeeper Denis Onyango failed to collect Richmond Boakye-Yiadom's shot, and although Bennett ruled out the goal for offside, TV replays show the strike should have stood.
''There were some infringements, it's difficult to see from the technical bench," Appiah said.
"But I think later I will have the opportunity to look at the tape to see what really happened because there were some incidents you don't understand why the referee disallowed those decisions.
''I believe that both team played very well today. We created a lot of scoring opportunities.
''As for Ghana, I think the players did very well considering the fact that I have about seven injured players and I had to try some other new guys.
"For me, many of them have proven that given the chance they can also play.''
Dwamena's disallowed effort was not the only talking point of officiating.
In the first half, Leicester City defender Daniel Amartey appeared to have opened the scoring after heading home a free-kick.
The goal was, however, disallowed for offside, although TV replays showed otherwise.
In the second half, Ghana had a penalty shout ignored after Frank Acheampong was seemingly fouled in the box.
By Saturday's result, the Black Stars' chances of playing at a fourth successive World Cup hangs in the balance.
Group leaders Egypt host bottom-placed Congo on Sunday. A win for the Pharaohs will secure them the sole ticket of Group E.