  In this paper, we study static spherically symmetric wormhole solutions in
extended teleparallel gravity with the inclusion of noncommutative geometry
under Lorentzian distribution. We obtain expressions of matter components for
non-diagonal tetrad. The effective energy-momentum tensor leads to the
violation of energy conditions which impose condition on the normal matter to
satisfy these conditions. We explore the noncommutative wormhole solutions by
assuming a viable power-law $f(T)$ and shape function models. For the first
model, we discuss two cases in which one leads to teleparallel gravity and
other is for $f(T)$ gravity. The normal matter violates the weak energy
condition for first case while there exist a possibility for micro physically
acceptable wormhole solution. There exist a physically acceptable wormhole
solution for the power-law $b(r)$ model. Also, we check the equilibrium
condition for these solutions which is only satisfied for teleparallel case
while for $f(T)$ case, these solutions are less stable.
