Fletcher started the EFL Cup defeat to Manchester United at Old Trafford and managed to get himself on the score sheet as the Hammers were well beaten 4-1 in the quarter-final of the competition on a disappointing night for Slaven Bilic's side.
Now attentions turn to the Premier League at the weekend with the side currently in the thick of a difficult run of games where the Hammers still have a shortage of striking options.
Diafra Sakho scored in last weekend's draw against Manchester United in the Premier League but faces another spell on the sidelines, however Andy Carroll could be in line for a return this weekend.
Fletcher told whufc.com: “It can only give me a lot of confidence getting my first goal for West Ham and I go into every game thinking I can score and now I have got my first one, hopefully many more will follow.
“This is a massive London derby and every game in the Premier League is a tough game, but we know we can give Arsenal a good game.
“I will be hoping to start again on Saturday. The manager has got some tough decision as there is so much competition. I think Andy will be back on Saturday so it will be fierce competition for places in the striking role."
There is not much more Fletcher can do after being given the opportunity up front by finding the net. Although it was a disappointing exit from the League Cup for West Ham, Fletcher's strike was at least a positive to take from it.
The weekend's game against Arsenal is a huge one; a win there could give the side a massive boost as they look to move clear of the relegation zone.
West Ham currently sit in 16th place - one point clear of the drop zone - and they could do with finding some good form soon. In terms of their striking options, Fletcher must feel he has a real chance of getting another opportunity given the side's injury woes, combined with his first goal for the club.