The singer, who is preparing to release Hard-Fi's new album Killer Sounds on August 22, insisted that the former Oasis stars were at their best when they worked together.
Archer told Digital Spy: "I must admit I still have to check [Liam's] Beady Eye out - I've only heard their singles.
"My dad used to have the John Lennon Best Of solo album and used to play it really loud every morning and so I really like what I've heard of Beady Eye because it really reminds me of Lennon's solo stuff."
He continued: "I haven't heard Noel's music yet, but I've heard it's really good. The one thing I can't get away from personally is that they're at their best when Liam is singing Noel's songs.
"I always liked Oasis mark one because it had melody, attitude and energy. Hopefully they will sort out their differences one day."
Hard-Fi announced earlier this week that they have joined the lineup for this weekend's V Festival in Staffordshire and Chelmsford.
> Digital Spy speaks to Hard-Fi: "It feels like our early days again"
Watch the music video for Hard-Fi's new single 'Fire In The House' below: