Speaking on Fox Sports at the weekend, Matthew Johns said he and younger brother Andrew wanted to help Samoa emulate the success of Tonga in the international game and had spoken with Sonny Bill Williams about forming a possible coaching trio.
Parish has been in charge of Toa Samoa since 2013 but did not view the comments as a threat to his position.
"We're happy to have them involved. The Board is united and we've spoken about it since this has come to air," he said.