Truro boss Lee Hodges says his side did not deserve to lose their Blue Square Bet South match at Chelmsford City.
The hosts scored a last-minute winner after Stewart Yetton and Les Afful had put Truro 2-0 up at half-time.
"Did we deserve to lose? No we didn't, the boys were brilliant," Hodges told
BBC Radio Cornwall.
"The boys dug in deep, and right at the death the referee gave a free-kick outside the box and they flick it on and put it in."
City conceded early in the second half from Jamie Slabber before Dan Green was sent off for handling on the line and David Rainford scored the resulting penalty before Craig Calver's winner.
For financially troubled City,
whose squad could quit after Tuesday's match against Bath City,
the match could be their final away game unless a buyer can be found.
The club entered administration in August after owner and chairman Kevin Heaney was
declared bankrupt and left the club.
"We're in on Tuesday to play a game against Bath City and we'll have to see what happens from there," said Hodges.
"We go and play the game on Tuesday night, we're meant to be holding a meeting afterwards with the administrators, and after that we'll know more.
"We're just all keeping our fingers crossed, but it's getting very late now."