A pseudo static random access memory including a plurality of memory chips and an information storing device is provided. The memory chips transmit a plurality of read/write data strobe signals to a memory controller by using a same bus. Regardless of whether a self refresh collision occurs in the memory chips, when the memory chips perform a read operation, read latency of the memory chips is set to be a fixed period that self refresh is allowed to be completed. The fixed period is greater than initial latency. The information storing device is configured to store information which defines the fixed period. The read/write data strobe signal indicates whether the self refresh collision occurs in the memory chips, and a level of the read/write data strobe signals is constant during the read latency. A method for operating a pseudo static random access memory is also provided.