The answer to the OP's question is yes, size_t is most appropriate for the example code, where no pointer values are being subtracted from each other, and there are no cross-compiler/library compatibility issues around malloc behaviors. Regardless of difference in heap managers, in C, an array can be SIZE_MAX bytes in length and that requires a size_t to represent it. Nothing in the standard requires a heap manager to be able to allocate all of a process memory space in the heap, or to allocate up to SIZE_MAX bytes for that matter, but an array can be SIZE_MAX in length, hence size_t is appropriate.
Even if n is signed, using a ptrdiff_t for i isn't going to help, as the initial i < n test will fail anyway, if n is negative, because i is initialized to zero. There is no index into i that a size_t index cannot access. The only place that ptrdiff_t is needed, is where you subtract one pointer value from another, and the OP isn't asking about that.