Snyman was born in Harare, where he attended St. John's Preparatory School. In 2009, he was selected to represent Zimbabwe's Under-13 side in the South African Craven Week competition, starting all four of their matches and scoring a try in their game against hosts in Kimberley. At secondary school level, he attended St. John's College, and was once again selected to represent Zimbabwe at the Craven Week competition for high schools in 2014. He started all three of their matches at the tournament held in Middelburg.
Snyman's performances were noticed by the and he signed an academy contract with the Pretoria-based side, joining their intake for the 2015 season. He was named in the Blue Bulls Under-19 squad that participated in the 2015 Under-19 Provincial Championship, chosen to be vice-captain and started eight of their twelve matches during the regular season of the competition. He scored one try in the competition, in a 42–24 victory over the team, helping the Blue Bulls to finish in second spot on the log to qualify for the semi-finals. Snyman also made one start and one appearance as a replacement for the team at the end of the Under-21 Provincial Championship, but rejoined the Under-19 team for the title-ply-offs. He started their 30–29 victory over in their semi-final match, as well as the final, but he could not prevent the Blue Bulls losing 23–25 the s. While missing out on silverware, he received a personal accolade, being named the Under-19 Forward of the Year at the Blue Bulls' end-of-season awards ceremony.
At the start of 2016, Snyman linked up with – the Pretoria-based university side affiliated to the Blue Bulls academy – for the 2016 Varsity Cup competition. He started all of UP Tuks' matches in the competition; he made seven appearances during the regular season which saw Tuks qualify for the title play-offs by virtue of finishing in fourth position and also started the semi-final, which his side lost 11–49 to in Stellenbosch. In March 2016, Snyman was included in a South Africa Under-20 training squad, and made the cut to be named in a reduced provisional squad a week later. On 10 May 2016, he was included in the final squad for the 2016 World Rugby Under 20 Championship tournament to be held in Manchester, England. Snyman started all five of their matches in the competition; after a 59–19 come-from-behind victory over Japan in their opening match in Pool C of the tournament, South Africa were beaten 13–19 by Argentina in their second match, but bounced back to secure a 40-31 bonus-point victory over France in their final pool match to secure a semi-final place as the best runner-up in the competition. South Africa then faced three-time champions England in the semi-finals, but the hosts proved too strong for South Africa, knocking them out of the competition with a 39–17 victory. Another loss in their final match – 19–49 to Argentina in the third-place play-off – condemned South Africa to fourth place in the competition. Upon his return to South African shores, Snyman was named in the squad for the 2016 Currie Cup qualification series and he made his domestic first class debut by coming on as a replacement in a 95–12 victory over Namibian side the in their final match in the competition. Snyman's debut in the Premier Division of the Currie Cup followed less than a month later, when he came on for the final thirteen minutes of their 45–26 victory over. Snyman was named in Super Rugby side the ' extended training squad for the 2017 season.
2019–present : Benetton
Snyman joined Italian Pro14 side for the 2019–20 Pro14 season.
