Wenger has been seeking to boost his attacking options, though he believes Arsenal's pursuit of Liverpool's Luis Suarez is over while Karim Benzema's agent claims the France international will stay with Real Madrid, "the club of his dreams".
Giroud, who has scored three goals in three games this season, said: "I am in a good run, I feel really confident.
"I feel good in the game and I do the job on the pitch. No doubts, no more questions.
"If there is a new striker coming, it's a good thing for the squad, and I try to give it up for the team, help the team to win. Nothing more."
Arsenal responded from a 3-1 opening day loss to Aston Villa with a 3-0 defeat of Fenerbahce, who they face again on Tuesday night, and a 3-1 win at Fulham.
"I did well (at Fulham), like the team," Giroud added. "I really wanted to help the team to win after the bad result against Aston Villa.
"We were really disappointed with that and we wanted to correct it and dictate the game. That's what we did, like in Fenerbahce, and we are really pleased with that.
"We really wanted to show that the squad is together. We want to give an answer together on the pitch, and we did that. We played really well and we scored three goals, and now we are really confident."
Wenger has no intention of fielding a weakened side against Fenerbahce on Tuesday, despite the north London derby with Tottenham taking place next weekend.
The Arsenal boss knows there is too much at stake, with Champions League football crucial to recruiting players, but already is feeling a sense of relief after his position was questioned by supporters in the wake of the Villa loss.
"I feel relieved," Wenger said. "I care about what's happening at this club and when we had the result last week (against Villa) I was deeply disappointed.
"This is not a personal trip. This is about doing things well for the club I love so I am happy we are back on track."
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