I am a green card holder and I have a company here in US.Can I extend my services to other countries?

I am a permanent resident, having a small special effects company in US from Feb. 2005.An advertising company outside US wants me to travel there and give my services(through my company)in organizing and Art directing for one month a newly established special effects studio they are creating.Can I work for my company outside US and be physicaly there working with them for a month,without puting in jepoardly my green card status?