'can work best' is correct and usable in written English.
You can use it when you are referring to something that will have more desirable results than other possibilities. For example: "Out of all the potential solutions, the one that can work best is to hire an experienced consultant."
There are occasions however where the simplest things, yorkers for instance, can work best.
Integrated care can work best for ageing populations with long-term conditions.
Prepare for those interviews – get clued up on how social media can work best for development and how to build a killer comms strategy.
McDonald's have taken a positive step by talking to staff about how the employment relationship can work best for both sides.
The BBC is seeking to cement its links with hyperlocal news outlets across Britain by asking them how they and the corporation can work best together.
When new patients come in, we talk through how the service can work best for them; we discuss what name and pronouns they'd like us to use, and how we can refer to their body in a way that feels authentic and comfortable, as well as discussing which services they would like to access.
Points for discussion will include: How can business work best with governments?
My guess is that Krugman's gifts for concision and clarity, as well as his capacity to express complex economic ideas in terms that the intelligent reader can follow, work best in short form.
Airtight glass canning jars work best for storage, but plastic storage containers with secure lids are acceptable.
And if it can work, what works best?
PBF can be expected to work best when there is underused capacity in the health system, such that limited additional resources can leverage a large increase in outputs.
