Goalkeeper Lloris has become a key player for Spurs since joining the club from Lyon in 2012.
Giroud is good friends with Lloris and he claims the 27-year-old would be open to a shock move to the Emirates Stadium.
“We go out together and talk about everything,” Giroud said on French TV.
“We talk about life and sometimes the French team a bit and our wish to have a great experience together at the World Cup.
“Have I asked him to join Arsenal? Yes, I have with Lolo [Laurent Koscielny].
“He would have liked to, he would quite like to. You will have to ask him the question.”
The pair are likely to feature for France at next summer’s World Cup and Giroud believes Les Blues have what it takes to win it.
“We can go all the way,” he said. “That means we are going there to bring the trophy back. Try to reach the moon and at worst you will reach the stars.”
Written by Steve Milne
