Start by changing the signature:
public static string ExecuteProcedureReturnString(string connString, string procName,
params SqlParameter[] paramters)
Becomes
public static List<string> ExecuteProcedureReturnString(string connString, string procName,
params SqlParameter[] paramters)
And then, the work starts.
Your method doesn't deal with multiple values: it calls a stored procedure that returns a single value, which may or may not be a string - we have no access to the SP or the code while it's running so we can't tell. It's possible that what it return's is a comma delimiter string of values or similar, but we can't tell.
So start by looking at exactly what is returned, and what the SP does.
Sorry, but we can't do any of that for you!