Let G and N be finite groups of order 2n where n is odd. We say the pair (G,N) is Hopf-Galois realizable if G is a regular subgroup of Hol(N)=N⋊Aut(N). In this article we give necessary conditions on G (similarly N) when N (similarly G) is a group of the form Zn⋊Z2, for (G,N) to be realizable. Further we show that this condition is also sufficient if radical of n is a Burnside number. This classifies all skew braces which have the additive group (or the multiplicative group) isomorphic to Zn⋊Z2, in this case.