In this paper, we establish a series of \(\Phi \) -moment martingale inequalities in variable Morrey spaces. To achieve this, we initially define a new class of variable martingale Hardy–Morrey spaces, which are related to the Orlicz function \(\Phi \) , and subsequently develop their atomic decompositions. Using these atomic characterizations, we further derive a sufficient condition for the \(\Phi \) -moment of certain \(\sigma \) -sublinear operators to be bounded from the variable martingale Hardy–Morrey spaces associated with the Orlicz function \(\Phi \) to variable Morrey spaces. Finally, we apply this criterion to the maximal operator M, the quadratic variation operator S, and the conditional quadratic variation operator s, thereby deriving our \(\Phi \) -moment inequalities.
