The Wales wing was deservedly named man-of-the-match for a scintillating display as the Lions went some way to erasing the memories of the 21-3 defeat to New Zealand in the first Test.
"I enjoyed myself. I didn't want the game to end," said Williams.
"It was the last chance to prove a point before the game at the weekend.
"I had to give 100 per cent today to prove I wanted to play on Saturday and if that is the case (that he is selected) I'll give the same effort on Saturday.
"I played the game I wanted to play and hopefully I didn't let myself down. If I do get the chance I will be a happy man."
On the overall performance, the 28-year-old told Sky Sports: "It was a great bounce back. All credit to Manawatu, they didn't give up.
"We picked our heads up from the weekend and we threw the ball around and played some rugby.
"The set-pieces went well and it was a great defence - you can count on your hand the number of missed tackles there were."
Coach Ian McGeechan was buoyed by the performance and admitted Williams and a number of other players had given the Lions backroom staff more options in preparation for the second Test in Wellington on Saturday.
"Shane did well. We talked about getting a real flow to our game and if we did that we had people who could take advantage," he said.
"The good thing was we never let them go on their own. If you think individual and play individual you can be picked off by the opposition.
"I think there was a lot of unselfish play out there. The forwards were very disciplined in what they were doing and where they were going.
"The statement had to be quite clear that we knew how to play rugby and there had to be a ruthlessness about it.
"We now have to look at the players and how effective they were in their roles and how it fits into the game plan for Saturday, which is a few levels up and more intense."
McGeechan admitted the Test side had to get their basics right if they were to stand a chance of beating the All Blacks and levelling the series.
"I think we know we can't get away from the set pieces. You have got to have a starting point and we didn't on Saturday - it is essential we get that right," he added on Sky Sports.
"We can play some rugby and we have some good players and if we get the building blocks in place from set-pieces then we can look at tactical plans for pressurising the All Blacks."
Scotland's Gordon Bulloch, captain for the match, was pleased the team managed to stay focused despite having the game won by half-time.
"It is not very often you score 100 points. We went out there to try to attack from every phase and I think we did that so we have got to be pretty pleased," he said.
"I think they showed great composure to keep their concentration up. We played as a team and we got a few tries.
"I think (head coach) Clive Woodward dangled the carrot - he picked a side for this game but said has not got a Test side in his mind yet."