The AES instructions on the ARMv8 platform do not have an algorithm that is "intrinsically resistant" to side-channel attacks. NOTE: the vendor reportedly offers the position "while power side channel attacks ... are possible, they are not directly caused by or related to the Arm architecture."
Arm Armv8-A core implementations utilizing speculative execution past unconditional changes in control flow may allow unauthorized disclosure of information to an attacker with local user access via a side-channel analysis, aka "straight-line speculation."