I am running Quicken 2018 on my High Sierra 10.13.2 installation without issues. I find it superior in every way to Q2007, something I used for almost ten years and finally made the break.
There is one thing you need to know about Quicken 2018 though. You can no longer buy the product outright. Quicken has moved to a subscription model like Microsoft’s Office 365 in which you pay a yearly fee to get the latest updates and online services. Some will find that unacceptable but Quicken states that if you fail to renew your subscription the app will still work, you just won’t get support, online services, or updates.
Look, eventually Q2007 will stop working on macOS. Quicken no longer supports it and Apple certainly won’t be looking to make sure a 10 year old unsupported app still works. So you will have a basic decision to make. Do you freeze your computer at a point in time so Q2007 will still work or do you move forward?