The granting or denial of a business permit is not covered by any part of the U.S. Constitution.
The U.S. Constitution is not a business entitlement program.
The U.S. Constitution regulates commerce between states and internationally.
There is no illegal reason to deny any business any permit unless that business is a member of the Press.
No restaurant is considered to be the Press.
A community can deny a business permit for NO reason. A community can decide that it doesn't want a particular business within its borders, period. What the president said is neither here nor there if a community decides to pull its permit, since a community has the right to for any OR NO reason.
Whew! For starters, try reading the Due Process Clause of the Fourteenth Amendment.