Morocco international forward has joined the Blues in a £33.3m deal from Dutch giants, Ajax last year, however, they struggled to make an impact, particularly after Thomas Tuchel took reigns at Stamford Bridge.
Reports have suggested that the Blues would be open to selling the Morocco international, while Serie A giants AC Milan have registered their interest in the creative midfielder.
And Giroud, who played alongside Ziyech at Stamford Bridge last campaign, before making the switch to Italy in the summer, is keen to link back up with his ex-teammate.
When asked about the prospect of Ziyech also making a move to San Siro before the end of the transfer window, French forward said at his press conference on Monday: ‘Ziyech is a great player.
‘We have had a great connection even though we have played few games together.
‘He has a top-left foot, has the experience, and he is very good technically. It would be nice to play with him again.’
France international forward also revealed he stepped up his push to depart from the Blues when he learned about the club’s intention to put pen on a new attacker this summer.
‘I have always said that when I was little I had the dream of playing in the Premier League but I think it was time to discover a new culture and a new country,’ said Giroud.
‘Milan was the best option for me and I am grateful to be able to wear the Rossoneri colours. I’m happy to be here.
‘My time at Chelsea was over also because the manager wanted to play with other players, spending a lot of money in the transfer market.
‘There I realised I had to leave the club and I received a great welcome from Maldini. I’m a Christian and I think God wanted me to move to Milan this season and not Inter the last one and I’m happy with that.’