The easiest way to do this move when the enemy is dizzy. Execute the motion for a Flash Kick (charging down and then pressing up and kick) and hit the strong and forward buttons, while trying to hit strong a spilt second before hitting forward.
If done correctly, Guile's throw should execute and damage the foe; however, the opponent will be frozen and stuck (or "handcuffed") in front of Guile until the player uses the Invisible Throw to "unlock" them. If the foe is stuck until the round timer runs out, the timer will remain on zero, and Guile can still move around with the "handcuffed" player. Using the Invisible Throw to free them will cause the round to end as usual.
The game may occasionally crash after executing this glitch.