This below model CPU's support Windows Embedded 7?
i7-6700K | i7-6700 | i7-6700T | i5-6600T | i5-6400T | i5-6600
i5-6500 | i5-4670T | i5-4570T | i5-4670S | i3-4330T | i3-4130T
Thank you for contacting the Intel Communities.
In this case, the processors that you listed exceed the system requirements, the processors are OS independent so you don't have any restriction regarding the OS you can install as long as they meet the requirements.
You may want to check for the compatibility information between other components as you can be limited due to lack of drivers, etc.
Hope this information helps.