Burnley have looked good in spells this season, but a run of four defeats in five league games left them desperate for three points against the side who beat them to the Championship title on goal difference last season.
Parker not only made three changes from the 2-1 defeat at Villa Park, but also switched to a back four for the first time this term – a move that paid off as his team kept Leeds at bay after half-time to claim victory.
Burnley’s first-half opener was chiefly down to Walker’s magnificent inswinging delivery into Ugochukwu, who was left with the simple task of guiding the ball inside Karl Darlow’s right-hand post from close range.
But a number of Burnley players looked much more comfortable in Parker’s new system, including 21-year-old Ugochukwu and holding midfielders Josh Cullen and Florentino, whose distribution was excellent throughout.
The home side failed to register an attempt between Ugochukwu’s opener and Tchaouna’s screamer, but a second clean sheet of the season was very much a step in the right direction for a side who conceded only 16 times in the Championship last term.
The hard-fought win lifts Burnley above Nottingham Forest and out of the bottom three.