"We've got to be reasonably pleased we've got a club from the same level as us at this stage of the competition. It could be a lot worse," he commented.
"I don't know a lot about Barwell. I haven't seen them play and I haven't been to their Kirkby Road ground. All I hear is that they're a bit physical. They had a poor start to the season but have started winning recently and beaten Skelmersdale."
By coincidence, Barwell visit the Tameside Stadium for a league clash this Saturday. It may be the right time to get them as Curzon are suffering an injury crisis in defence.
Earlier tonight (Tuesday), in their 2-1 defeat in the top of the table clash at Buxton, the Blues gave a debut to centre-back Danny Shaw, signed from New Mills.
Flanagan said: "Against Scarborough we were without Jonno Hunt and Simon Woodford. Darren Thornton was suspended and Andy Watson was out of the country. I had midfielders at full-back and Niall Cummins, a striker, at centre-half.
"It was very pleasing to win and go through to the next round of the FA Cup."
Woodford was named as a substitute against Buxton but the others are unlikely to be available on Saturday.
"It might work in our favour," the manager added. "If we were to beat Barwell convincingly on Saturday, that would probably make them lift their game the following week and things would be harder."