It capped a perfect week for the Coasters, who ended Wrexham's 11-game unbeaten run on Tuesday evening.
Two goals in two minutes on the stroke of half-time from Johnny Smith and Danny Rowe gave them a commanding lead and then Sam Finley and Jack Muldoon both made sure of the result with goals in the final 15 minutes.
Fylde are now up to 16th in their debut season in the Vanarama National League although Challinor says that was his side when they aren't at their best.
“To back up Tuesday’s performance and win is massively pleasing," he said.
“We have got a big win from one of our worst performances this season. We took a while to get going but then we controlled the second-half very well.
“We looked very frustrated early on but managed to get two goals right on half-time and it completely changed the complexion of the game and settled us down.
“It meant we could go out in the second-half as a calmer team and we managed the game in a positive way. The two goals towards the end were the icing on the cake. We looked a very good team for an hour.
“We have stuck with the same side for two games running now and they have looked good but we have a very strong squad and people will need to keep performing to retain their place.
“We were potentially looking at making changes at half-time but games change very quickly and we are delighted with the result.”
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