The original design from 1972 for this aircraft was known as the Model 435 and was to be powered by Continental GTSIO-520X engines with three-bladed propellers.

In September 2007, Cessna limited the Conquest II to 22,500 hours of air time through a Supplemental Inspection Document.

[5] The Cessna 441 cruises at 316 kn (585 km/h) true airspeed while burning 480 lb (220 kg) of fuel per hour at flight level 290.

The aircraft's maximum range is 2,000 nmi (3,700 km) at 260 kn (480 km/h) TAS and 310 lb (140 kg)/h at FL350.

Examples of the type have been exported to many countries including Austria, Australia, Canada, Ecuador, Finland, Germany, Iceland, Mexico, Norway, Peru, South Africa, Sweden and the United Kingdom.