Moyes has bemoaned the Merseysiders' failings in front of goal all season and his frustration continues to grow.
The Scot felt his team passed up a number of opportunities to test Bolton goalkeeper Jussi Jaaskelainen in midweek and only a last-gasp Jermaine Beckford strike spared them from defeat.
Beckford's dramatic late equaliser was only the second goal from an Everton striker in the Premier League this season - Ayegbeni Yakubu's winner against Stoke a fortnight ago the other - and Moyes would happily change approach, if he had the players.
"I might go and start crashing the ball into the box, do it that way," Moyes said.
"It doesn't really matter what you do between the boxes - it is what happens in the boxes.
"Obviously people want to see a brand of football which they think is the right way to do things, and over the years in England there has been a lot of criticism of the long ball.
"But at the end of the day, if you get the ball in the box and knock it down and score goals, then it wins you games.
"At the moment our football is great up to the box but we can't seem to alternate our play.
"In the past we have had people like Duncan Ferguson who we could maybe have brought on and done something.
"So we are a bit limited in what we have got in that respect.
"We have to keep crafting and passing and finding a way of scoring."
Moyes does at least expect his side to be able to approach the game in their own way as they host Arsenal at Goodison Park on Sunday.
The Toffees boss has no doubt as to the Gunners' quality but expects both sides to set themselves up to win, rather than to stifle the opposition.
"They are a very good attacking side with lots of options in their squad," said Moyes, whose side were thrashed 6-1 by Arsenal in the corresponding fixture last season.
"I think they will come and do what Arsenal do.
"But I think we have played quite well against them in the last few games, although obviously the first one last season wasn't the case.
"If Arsenal are hot they can cut you open on the counter-attack, but in the games we've had we've probably had as much ball as them.
"We were very unlucky there last year. We were 2-1 up, could have been 3-1 but they scored in the last minute.
"And the one before at home, I think (Robin) Van Persie scored with a free-kick late on.
"It is a game that over the years I think has been quite close."
Moyes will have to consider his attacking options but looks likely to stick with Louis Saha having relegated Yakubu to the bench for the 1-1 draw against Bolton.
Yakubu had made seven successive starts but Saha, fit again after a calf injury, was brought in to freshen the forward line after three substitute appearances.
Beckford, despite scoring his first Premier League goal in stunning fashion against Bolton, will probably begin on the bench once again.
Moyes said: "Yak played very well against Liverpool and scored a good goal against Stoke, but he has had seven or eight games and scored one goal. I am looking for a bit more than that.
"We gave Louis a go the other night. We have to find ways to try to get the goals."
Everton are without midfielder Marouane Fellaini, who marred his return after four games out injured by getting sent off late on against Bolton.
Jack Rodwell is getting closer to a return to action after three games as an unused substitute following his ankle injury.
Defender Leighton Baines is also looking forward to the contest.
Baines said: "Arsenal are a very good side.
"If you give them too much space they will definitely expose you.
"They embarrassed us one time at Goodison, the first game of the season, but there have been occasions when we have been very unlucky.
"They are the type of opponents we like to raise our game for."