Speaking to glasgowwarriors.org, Glasgow coach Kenny Murray said: "The groups are always tough because you're playing the elite teams in Europe, so it's always going to be a tough group.
"I think we have quite a good group, with an English and French side, along with a Guinness PRO14 team as well. We've played Saracens recently and we know how tough that will be, but they are certainly not unbeatable and that will be a good test for us.
"We've performed well against Cardiff Blues in recent times and managed to get some good wins against them, but they are a team we have huge respect for.
"Lyon will be a bit of an unknown quantity to us as we've not played them in Europe before. They will be an interesting one to preview and with them being a Top 14 semi-finalist they will be a strong side.
"On paper Saracens are one of the top English sides and Lyon are one of the top French teams, but for us it's achievable that we can get through to the knockout stages.
"We've had some really tough groups in recent years and last year's group was incredibly tough, but we have competed with the best sides in Europe over the last few years and there is no reason why we can't do that again."