Giroud's agent has warned that the World Cup winner will leave the club if the situation does not change, but Lampard says he has a "good relationship" with 34-year-old.
"I want Oli [Giroud] to stay," said Lampard.
"He is very important to me and I know what he has to offer. I know he wants to play but he always trains brilliantly, no matter what.
"I saw those quotes from his agent but they didn't surprise me. I know Oli and we talk all the time."