According to the M3 owner manual, traction control can be disabled in the UI.
To some extent, from page 48 of the owners manual:
How It Works
The traction control system constantly monitors the speed of the front and rear wheels. If Model 3 experiences a loss of traction, the system minimizes wheel spin by controlling brake pressure and motor power. By default, the traction control system is on. Under normal conditions, it should remain on to ensure maximum safety.
*
Allowing Wheel Slip
To allow the wheels to spin at a limited speed, you can enable Slip Start. Slip Start can be enabled only when Model 3 is moving 30 mph (48 km/h) or slower. Slip Start automatically disables when the speed exceeds 50 mph
(80 km/h).
Under normal conditions, Slip Start should not be enabled. Enable it only in circumstances where you deliberately want the wheels to spin, such as:
• Starting on a loose surface, such as gravel or snow.
• Driving in deep snow, sand or mud.
• Rocking out of a hole or deep rut.
To allow the wheels to spin, touch
Controls > Driving > Traction Control > Slip Start.
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I don't see anything in the owners manual about disabling it. I do see things in the owners manual about how to tell if it is disabled.
Page 40 shows the icon and says:
Electronic stability control systems are no longer minimizing wheel spin. See Traction Control on page 48.
Followed by this warning on page 48:
Warning: If the above indicator remains illuminated in situations in which you have not enabled Slip Start (described next), the traction control system may not be operating correctly. Contact Tesla Service immediately.
page 62 about TACC says:
Warning: Traffic-Aware Cruise Control cancels, or may not be available, in thefollowing situations:
The traction control setting is manually disabled or is repeatedly engaging to prevent wheels from slipping.
but I don't think that suggests anything other than the page 48 slip start option.
page 82 says:
Traction Control: Turn traction control on or off (see Traction Control on page 48).
but we know that page 48 only has the slip start option, no Off setting as such.