The team is in talks about using Guernsey - and potentially Jersey - as a training camp this summer.
Now, Deputy Gavin St Pier has taken to social media to share his frustrations about the decision.
Meanwhile a Guernsey businessman has accused the government of "putting money and sport above the island's health and happiness".
Dan Meinke who runs boat trips says he was asked to take Gatland out at cost price.
In response, the government said it takes border restrictions "very seriously", but maintained there needs to be some flexibility.
Dr Brink added that this is a process they have used many times during the management of the pandemic where there has been a justifiable need for someone
to visit the island.