Hodgson has enjoyed Wales' development during the last two years and believes they have established a strong team unit around key players Ashley Williams, Aaron Ramsey and Gareth Bale.
"I feel good about it. There was always a very good chance we would meet one of the home nations," he told BBC Sport .
"We are very pleased Wales have done so well, and whichever of the teams we got in that pot it would be tough. Why not have a tough one close to home?
"We know all the Wales players - almost all of them play in England. But what we know most of all is the team is very organised, they have a strong spirit and a good spine.
“In Aaron Ramsey, Ashley Williams and Gareth Bale, they have three really top class players. We have a lot of respect for Wales.
"When it comes to draws though you are just happy you're name is in the hat because it is such a lottery. You just take what you get.
"I've not come across either Russia or Slovakia in my international career so it's two newcomers, but we respect them and it's a question of doing plenty of research so we know enough about them as we think we do about Wales."
Coleman said prior to the draw that he would have preferred to avoid the distraction of facing neighbours England next year but he insists his side will relish facing a team which won all 10 of their qualifying matches.
"It's going to be a great game," the Wales boss said. "Roy, the campaign they had, it was a fantastic return. You're looking at a lot of teams with a lot of quality. England are one of the best teams but we look forward to it.
"When you get to a tournament you've got to get it right on the 90 minutes. It doesn't matter who you play, you've got to concentrate on yourselves. Slovakia have beaten Spain, Russia will be strong. You've got to be prepared, be ready.
"I was so honoured and proud to be here. We're all patriotic, just to be here involved is absolutely fantastic. I'm very excited. There's some hot competition, all the top teams have earned the right to be here. It'll be a fantastic tournament."