How to set frame.visible = false for all players?

I'm kind of confused by your question, I'm assuming your question is that all players will have the ScreenGui and when the button inside the ScreenGui is clicked it will destroy all ScreenGuis for all players in the game? If so, this is very simple to do with RemoteEvents.

First of all, put a RemoteEvent inside of ReplicatedStorage.

Second, place a Local Script inside of the button and put the following code inside of it:

script.Parent.MouseButton1Click:Connect(function()

    if player.leaderstats.Cash.Value >= 60 then
        player.leaderstats.Cash.Value = player.leaderstats.Cash.Value - 60
        game.ReplicatedStorage.RemoteEvent:FireServer() 

        MediterraneanAvenue.Parent = game.Players.LocalPlayer.Backpack
    end
end)

Next you will need to put a Server Script inside of ServerScriptService and then put the following code inside of it:

local Players = game:GetService("Players")

game.ReplicatedStorage.RemoteEvent.OnServerEvent:Connect(function()

    for i,v in pairs(Players:GetChildren()) do
        local PutGuiNameHere = v:FindFirstChild("PlayerGui"):WaitForChild("PutGuiNameHere") -- Replace "PutGuiNameHere" with the Gui name that you want to destroy.
        PutGuiNameHere:Destroy()

    end
end)

Again, It was hard to understand what you were asking for and hopefully this is the answer you were looking for.

If this is not what you were asking for, just put a comment below and I'll try to help you.