Which opioid option is available as a patch formulation that should be changed once weekly?

The correct option is buprenorphine, as it is available in a transdermal patch formulation designed for long-term management of pain, typically changed once weekly. This method of administration allows for consistent delivery of medication over an extended period, which is particularly beneficial for patients requiring ongoing pain management.

Fentanyl, while also available in a patch formulation, is typically changed every 72 hours rather than weekly. Hydrocodone and oxycodone are primarily available in oral formulations and are not provided as patches, thus making them unsuitable options for this specific question regarding patch formulations and change frequency.