You are correct. Quality objectives can (and should) be dynamic, subject to the current busines objectives of the organization. You could create a stand-alone document, or include them as part of the management review outputs, or on a board, on the intranet (if you have one) ,or as an appendix/attachment to the Manual, or many other options.
Irrespective of the medium used, don't forget that they need to be communicated to the workforce, as appropriate. So, use a medium that allows for communication.