The Dragons are one match away from making their first World Cup appearance since 1958 following a Gareth Bale-inspired 2-1 victory against Austria last month.
“Of course it whets the appetite,” said former Sheffield United and Huddersfield Town defender Page. “Yes, it is a mouth-watering tie, potentially. Scotland will be thinking the same, but our full focus is on getting there.
“I live in Sheffield so I was sat with some England supporters, and it was quite tasty when the draw was made.
“Where we have come from in the last two to three years has been phenomenal and we are continuing with this momentum. We have put ourselves in a wonderful position.
“The only one missing for us is a World Cup and 1958 is a long time to wait. Rightly, we are getting excited, but we have to just rein it in. We have been waiting years and years for this opportunity, so trust me when I say there will be no stone unturned.”
Alongside England, the United States and Iran also feature in Group B following Friday’s draw in Doha.
Page added: “When you look at it and you have got Iran and USA, they are good opposition – they wouldn’t be there if they were not – but there are teams you would want to avoid before them.
“It is a good group, and if and when we get there we will throw everything at it and we fancy our chances.”
Scotland’s semi-final against Ukraine has been postponed due to Russia’s invasion, with June being the most likely option for a new date. Scotland boss Steve Clarke has suggested the tie could be delayed further ahead of the next international window in September. But Page said: “First and foremost, we are sympathetic to what the Ukrainian people are going through, it is horrendous. UEFA will make that decision when they see fit and we have to be patient.”