"I try not to take too much interest in the world's opinion of our relationship," Chad said defiantly. "I just know the both of us are very happy."
The 37-year-old met Avril, who is 10 years his junior, earlier this year while working on music together for her upcoming album.
The loved-up twosome's friendship turned romantic on July 1, which also coincidentally happened to be a special day for the Canadian stars.
"We think it's very cool that our anniversary will always be on Canada Day," Chad added. "We can't wait to start our life together."
Nickelback are going on a European tour this month with Daughtry, and Chad is hoping his "Sk8er Boi" songstress will join the band for some of the concerts.
"She'll come over and spend some time [with me] when she's got time," Chad shared, adding that they are trying to ensure they keep their relationship nourished by spending as much time together as possible. "They're going to throw a lot of stuff on her plate with the new record."
This will be the second marriage for the rocker chick, who tied the knot with Sum 41 frontman Deryck Whibley in 2006, but filed for divorce three years later.