Iowa Code § 808.5: Execution.

A search warrant may be executed by any peace officer. No persons other than those authorized by this section shall execute search warrants except in aid of those so authorized and on such authorized person’s request, the authorized person being present and acting. The warrant may be executed in the daytime or in the nighttime. The warrant, when executed, shall be forthwith returned to the issuing magistrate. Where the property to be seized has been, or is susceptible of being, removed from the officer’s jurisdiction, the officer executing the warrant may pursue it and search for property designated in the warrant.