The 50-year-old Bush frontman admitted in an interview with The Sunday Times that he's had "enough" of fan and media attention to his split from the 47-year-old singer.
"It's like enough already. I've got to move on. Everyone has got to move on," Rossdale said. "Somehow you have to put one foot after the other and make it happen."
"For me, it's just thinking about [my children] and how to prioritize them," he shared. "I have an incredible life with them, and that's what matters. You can't keep up with all the vitriol. Just don't get into all that."
Rossdale and Stefani, who share sons Kingston, Zuma and Apollo, split in August 2015 after nearly 13 years of marriage. The Bush frontman had voiced similar sentiments about his kids in an interview with People in November.
"My children come first," he told the magazine. "The boys interact so well, and they truly love each other. They are so sweet and protective of each other."
Rossdale has since been linked to model Elin Nordegren, while Stefani is dating country star Blake Shelton. Rossdale and Nordegren reportedly "hit it off" in August after being introduced by mutual friends.
"They want to make it work," a source said of the new couple to Us Weekly the next month.
Rossdale last released the album Man on the Run with Bush in 2014. Stefani, meanwhile, released This is What the Truth Feels Like in March, which includes the song "Used to Love You" about the split.