Arsenal have won their last eight games in the Premier League, leaving them just a point behind second-place Manchester City and seven behind leaders Chelsea, who have a game in hand.
But Giroud, who was speaking after picking up his Player of the Month award for March, has not completely discounted a comeback.
He said: “We want to finish strongly, we need to focus on our game first and if we suceed to win all of our remaining eight games maybe we can have a look at the Chelsea and City results.
“Yes [we can win the title] but it will be difficiult, I try to be honest, I believe we need to win every game. Let’s win every game and then see their results.
“If they win all their games, their destiny is in their hands. We know what we have to do and we want to keep it up.”
Arsenal host Liverpool on Saturday afternoon, while Chelsea host Stoke later in the day and Manchester City travel to Crystal Palace on Monday night.