Selectively supporting static branch prediction settings only in association with processor-designated types of instructions

A processor reads at least one instruction comprising at least one of a branch instruction and a non-branch instruction. In response to the branch instruction comprising a conditional branch instruction and set in dynamic mode, the processor dynamically predicts a branch path as taken or not taken. The processor, in response to the instruction fetch unit set in static mode for a conditional branch instruction and static branch prediction setting bits received with the conditional branch instruction specifying static branch prediction, statically sets the branch path as taken or not taken according to the static branch prediction setting bits received with the branch instruction. The processor selectively sets the operation of the processor temporarily from the dynamic mode to the static mode only in response to detecting a type of the at least one instruction matches a type of instruction qualifying to trigger static branch prediction.