Caley Thistle let a 2-1 lead slip to fall behind at Dingwall before Foran pounced to take County back to the Tulloch Caledonian Stadium for a replay.
"It wasn't the same quality as the first game (Inverness won 3-1 when the teams met in the SPL on 5 October) but there was still plenty of action and incidents," said Butcher.
"We are just delighted to get them back to our place. I'm really happy with that, considering we lost a goal in added time.
"It was good to go in at half-time in the lead. But they equalised quite quickly in the second half.
"To be fair to Ross County, they really had a go in the second half. They pinned us back and got the ball forward quickly. They dealt with the scraps and the second balls better than us.
"But then we scored and you are thinking with seven or eight minutes to go we can grind this one out. Then, disappointingly, we concede two goals but we had to character to come back and get the equaliser.
"I said to the players afterwards you never know when you're beaten. If you have that resilience and toughness in your team, it's going to be a cracking season."