Several years ago I played a game on armor games and now I can't find it. It was a platform shooter game about some detective/cop, it had vocals and try as I might I can neither find it or remember the name. The first level has the detective/cop "tied" to a chair getting lectured by some bad guy, in the end the cop/detective strangles the bad guy. Apparently they didn't bind his hands. (Noobs.)
I searched a first time and the only thing being close to what you described is a PC game called Broken Sword 2: The Smoking Mirror... can you give some more details maybe? How insignificant they may seem, anything can help us help you finding it! =)
Finally... found it for you! I think the game you were searching for is: Triggerman!!!
The starting sequence is about an agent tied to a chair and a bad guy talking to him, but he forgot to tie his hands and the agent strangles him from behind... right? =)