[10] During his NHL debut in Montreal's season-closing game against the Toronto Maple Leafs on April 6, 2019, Poehling scored a hat trick, the first Canadiens player to achieve this feat since Alex Smart on January 14, 1943.

His season was cut short, as on May 6, 2021, the Canadiens announced Poehling suffered a season-ending wrist injury which required surgery.

[12] As a restricted free agent with the Canadiens, Poehling was signed to a two-year contract extension, with the final year of his deal on a one-way basis on August 27, 2021.

[13] On the heels of a successful season in the AHL, there were expectations that Poehling would make the Canadiens lineup in one of the centre positions vacated following the off-season departures of Phillip Danault and Jesperi Kotkaniemi.

[16] After seven games with the Rocket, Poehling was called up by the Canadiens, who were plagued by injuries amidst a historically poor start.

Poehling's play in this new stint in the roster attracted praise, notably managing a two-goal performance in a victory over the Nashville Predators.

As a free agent from the Penguins, on July 1, 2023, Poehling was signed to a one-year, $1.4 million contract with the Philadelphia Flyers for the 2023–24 season.

[22] Poehling recorded a natural hat trick and one assist on December 30, against Sweden national junior team to help close a 4–0 gap and lead the game to overtime.

While United States lost 3–2 to Finland national junior team in the gold medal game, Poehling was named the tournament MVP and best forward.