Anything taken out of context can be ambiguous.
In the typical IT organization, operations and administrators spend the day moving from one console to another, logging onto one agent after another, trying to track down the information they need to ensure high performance and availability.
The context and use of commas (and absence of a comma after 'information') make it clear.
The punctuation for your second meaning might be :
In the typical IT organization, operations and administrators spend the day moving from one console to another, logging onto one agent after another. Trying to track down the information, they need to ensure high performance and availability.
...but the sentence then sounds unnatural, and would need to be written:
...one agent after another. Whilst trying to track down the information required/requested, they need to ensure high performance and availability.





