"will proceed accordingly" is correct and usable in written English. You can use this phrase to indicate that you or someone else will act in a certain way based on a given set of information or circumstances. For example: "We have discussed the changes to the project and will proceed accordingly.".

The sentence "We will proceed accordingly" is correct and usable in written English. It is often used to indicate a plan of action that is based on current circumstances. For example, "We have reviewed the new safety regulations, and we will proceed accordingly to ensure that our processes are updated.".