The Nash played with the last ten minutes a man down after Niall Cummins was sent off but still managed to gain a point - watch match highlights here.
Curzon fought back twice to draw 2-2, new signing Richard Baker levelling after Glenn Walker put the hosts in front and the Joe Guest struck in the last minute to cancel out Aaron Williams' goal for Brackley.
"I wouldn't say I was happy but the result makes you feel a little bit better about it, it does tend to make you overlook some things," said Flanagan.
"I think overall we deserved to get something. I was disappointed with the first-half, we didn't retain possession well enough at all. That's something we pride ourselves in and work towards every week but for some reason we weren't able to do it.
"We said a few words at half-time, we'd just conceded, and we asked for a big effort in the second half and we certainly got that. When you put the work in sometimes you get a break.
"We're delighted to get a draw."