Burnley defeated Rochdale 4-1 in the EFL Cup with goals from Rodriguez.
Rochdale drew first blood two minutes into the second half, before Rodriguez scored his second Burnley hat-trick, 10 years after his first against Burton in the same competition.
Rodriguez's impressive performance recored Burnley's first win at Turf Moor since January.
Singing praises to the magnificent Rodriguez, Dyche said;
“He has come back pre-season really fit and has obviously looked after himself.
”I have said all along I believe in all the strikers.
”Vyds is getting sharper and fitter and has worked hard tonight to add to his true fitness level.
”Jay has looked sharp, particularly second half. First half his movement was good and he didn’t quite find a chance, second half he spent more time in the middle of the pitch and the box and was effective so pleased for him.
“You want that feel to the team and I was really pleased with the calmness because we go a goal down, and I think there was a foul, but then we were super-calm, as was the stadium, so fair play to the fans because we have had a tough start.
”They realised, I am sure, how many chances we made in the first half and probably believed we were going to make more in the second, which we did of course.”
Burnley will travel to Leicester City for their next game in the Premier League on September 25.
