In the settings, you can change the visibility of the crafting tools icon, wardrobe icons, NPC summon icons, etc. You can set the 'Field Icon' to be invisible.
How to set display/hide field icons:
■ Bottom of the screen, select [Menu] → [Settings] → [Field Icon] and select ON/OFF
Even if the field icon is hidden, you can still use it normally by touching the craft tool. Please note that a field icon will appear for craft tools that require upgrading.