Allowing testers to select parameter from a list of options during execution

As a script author, I'd like to provide a list of values for selection to use during a test execution, or specify which value from a saved list to use for a given test script for that test cycle. 

At the moment, I have a script that references a parameter called [Asset 1]. I can manually edit the parameter value prior to adding the test to a test cycle, but then the previous value is lost. This requires manually storing a list of possible parameter values and editing the script every time a test cycle is created. 

Is there a way for a script to store multiple values for a single parameter and the tester select the relevant value during test executions? Alternatively, the creator of the test cycle can select the value when they add it to a cycle. There are instances where the same script will be added to multiple cycles and the parameter value will be different for each one.