I am not sure you need to change the oil when using F.I. cleaner.
There is a difference between:
* F.I. cleaner (adding Liqui Moly etc. in the fuel tank)
vs engine oil cleaner (adding another Liqui Moly product to the engine oil, in that case the oil needs to be changed soon afterward).
To answer your question, this thread is a good READ:
Fuel Injector Cleaner: Before or After Oil Change? (auto, idle, best) - Automotive -Sports cars, sedans, coupes, SUVs, trucks, motorcycles, tickets, dealers, repairs, gasoline, drivers... - City-Data Forum