In the wash-up from the July Series with France, Roigard presented with pain in his right foot. Scans confirmed he had suffered a stress fracture.
He will miss the two-Test trip to Argentina, and his likely return to play will be assessed in two weeks.
His injury comes with Noah Hotham also out for the Championship after also requiring surgery for a high ankle sprain against the French.
The All Blacks team to travel to Argentina will be announced at noon on Monday.
Meanwhile, wing Kyren Taumoefolau has signed to play for the Chiefs until the end of 2027.
He debuted in Super Rugby Pacific for Moana Pasifika in 2024 and, in 21 games, has scored 12 tries.
Marlborough-born Taumoefolau, 22, said in a statement, "I've loved my journey so far, and I'm proud of what I've been able to achieve with Moana Pasifika.
"When it came time to decide what's next, I took a lot of time to think about what was right for me and my whānau. Joining the Chiefs felt like the best option to keep growing and developing as a player.
"I'm excited for the next challenge and grateful for the opportunity to be part of a team and culture that I believe in."
New Chiefs head coach Jono Gibbes said the team was keen to welcome Taumoefolau to the Chiefs and support his bid to reach his potential.
"We know that he had plenty of options both in New Zealand and abroad, so to get the opportunity to continue to grow and develop his game in the next phase of his career is exciting for us.
"It's a responsibility that we take seriously. Kyren is a player with immense potential and he embodies many of the values we stand for. We know he'll thrive in the Chiefs' rugby environment, both on and off the field."
Taumoefolau, a product of Marlborough Boys' College, represented Tonga in six Tests in 2023 and also played for Tonga at Sevens in 2022. He debuted for Tasman in 2024.