Gomez admitted that he started "to feel scared" at the break, with England already five goals up, but also believes that Panama wasted "three or four opportunities" during the game.
"The result itself, I think the difference of goals could have been more," Gomez told BBC Sport. "We could have conceded more goals. We tried to play against England. We tried to avoid a bigger catastrophe and kept the ball in the second half.
"England are so practical. It's a beautiful team... I spoke to a colleague at half time and said 'I'm starting to feel scared'. We can't think about equalising, we have to think about stopping England scoring more goals.
"We wanted 0-0 in the first half but we were feeling rather frightened. Given that Panama is like a small young child in football, other teams don't really decipher our style of play - there were three or four opportunities we didn't take properly."
The defeat means that Panama will be going home after their final Group G game, against Tunisia on Thursday.