Shadow Hitmonchan

Shadow Hitmonchan doesn't have much use. Invest in Shadow Machamp instead.

Best PvE Offensive Moveset

• Counter has superior damage to Bullet Punch due to STAB.
• Rock Smash is slightly worse than Counter on offense. 
• Brick Break and Close Combat are extremely close in terms of performance; this is up to personal preference.
• Fire Punch, Thunder Punch, and Ice Punch have little use on offense. 

Best PvE Defensive Moveset

• Rock Smash is Hitmonchan's hardest-hitting fast move. 
• Bullet Punch offers no defensive type advantages and lower damage than Counter. 
• Brick Break has the most damage of all of Hitmonchan's charge moves. 
• Ice Punch offers coverage against Flying-types and has superior damage to Thunder Punch.
• Fire Punch has no utility on Hitmonchan. 
• Close Combat is not viable due to Hitmonchan's poor HP.

Counter is the best fast move for Shadow Hitmonchan, and benefits from STAB. Bullet Punch is suboptimal stat-wise and doesn't have any real use; it can cover Shadow Hitmonchan's weakness to Fairy-types, but you shouldn't be staying in for those fights anyways. 

Power-Up Punch is weak, but can snowball its attack stat after just a few uses, while Fire Punch, Ice Punch, and Thunder Punch each offer outstanding coverage options, and should be chosen based on what Hitmonchan is being used to counter.

Using two out of three of the elemental punches grants Hitmonchan outstanding coverage, though without Power-Up Punch, Hitmonchan's damage output suffers.