The West Indies blasted 82 runs in the last five overs to recover from a struggling 84-5 in the 15th over to finish with a formidable 166-5 in their allotted 20.
Pakistan were bowled out for a paltry 82 in 17.5 overs to bow out of the event, failing to reach the semi-finals for the first time in five editions.
Khan said the West Indies, who are defending champions, were ruthless in the last five overs.
"They (West Indies) took away the game in the last five overs," Khan told AFP. "It wasn't a case of bad bowling but (Darren) Sammy and (Dwayne) Bravo batted superbly."
Bravo hit a 26-ball 46 with four sixes and two boundaries while Sammy scored a fiery 20-ball 42 not out with two sixes and five fours to give real impetus to the West Indian batting.
Off-spinner Saeed Ajmal went for 41 in his four overs, only the second time he conceded more than 40 in a Twenty20 match.
"Those 82 runs made the difference and credit to them because before that we were thinking of getting them under 140 but still it was a gettable total," said Moin.
Pakistan batting panicked after they lost opener Ahmed Shehzad - who hit a century in the previous match against Bangladesh - off the first delivery of their innings.
Spinners Samuel Badree (3-10) and Sunil Narine (3-16) then jolted Pakistan's batting as four batsmen were stumped by wicketkeeper Dinesh Ramdin.
"We could never recover from the loss of early wickets and no one could stay longer at the wicket," said Khan.
Khan said Pakistan must address its flaws in batting before their series against Australia in United Arab Emirates in October.
"We have a big five month gap in our next series so we need to improve on our batting in training camps," said Khan, who was appointed coach for the preceding Asia Cup and World Twenty20 only.
Khan said it would be up to the Pakistan Cricket Board (PCB) to decide about his future.
"I am available for the job but it would be up to the PCB to decide," said Khan.
COMMENTS (9)
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Pakistan Cricket team was brought to senses by superb performance of WI,as Pak best bowler Saeed Ajmal conceded 41 runs in 4 overs and in batting Pak team disappointing performance led to exit from tournament.
Stop wasting all the money on this current team. The Chairperson is a TV man.Please appoint a good Cricketer to this position.
When we had a foreign coach Moin Khan never shied from blaming the foreign coach as being responsible for the heavy loss. Now what does he have to say about it? What he has said is something we already know. Yes, WI stole the game away from us in the last five overs and yes our batting crumbled. But would he say something about why it happened and why is it that we are still playing rotten players? No....because his high paying job is all that he cares about. Sad!
Enough is enough. The captain along with the whole team should be sacked. Its a waste of money on this team. They don't even have the guts to put up a fight. Their wickets fell like nine-pins. One can notice how easily they have given away the wickets. Are these professionals? A new team with new talent should be introduced and international cricket should be suspended for three years.