How do I anchor one side in rotation? (edited)

The problem probably lies in this part of your code:

workspace.Model:SetPrimaryPartCFrame(CFrame.new(x, 0, z))

What you're doing is setting the Y position to 0, so depending on the height of the door and ground, it might be below the ground.

To fix this, I suggest changing it to this:

workspace.Model:SetPrimaryPartCFrame(CFrame.new(x, 3.5, z))

I'm assuming the comments are giving the correct Y position. Also, I would suggest adding a wait() after the rotational for loops, so you can actually see the door open:

local door = script.Parent

--position before moving = 61.595, 3.5, -123.086
--position after moving = 65.779, 3.5, -121.335
--rotation before moving = 0, 0, 0
--rotation after moving = 180, 50, 180
--have no clue what im doing rn v

function doormove(onClick)
    for x = 61.595, 65.779, .4 do
        for z = -123.086, -121.335, .2 do
            door:SetPrimaryPartCFrame(CFrame.new(x, 3.5, z))
            for h = 0, 180, 20 do
                for e = 0, 50, 5 do
                    for y = 0, 180, 20 do
                        door:SetPrimaryPartCFrame(CFrame.Angles(h, e, y))
                    end
            end
            end
            wait(0.1) -- Change to adjust speed.
    end
    end
end

script.Parent.ClickDetector.MouseClick:connect(doormove)

Finally, I noticed that you put the ClickDetector in a Model. I don't think this works; you should put it in a part and update the last line accordingly. I also noticed you used workspace.Model. This will make the script break if you change the door's parent or rename it. I fixed that in the code above.

The indentation didn't come out very well, I noticed. But you should always indent your code; it increases readability and makes it easier to spot errors related to end statements.