In 2013, Woodman joined Newcastle from Crystal Palace, where his father Andy was goalkeeping coach at the time. On 16 September 2014, Woodman was sent on a month long loan to Hartlepool United to gain experience of being in a first team environment. After six appearances as an unused substitute, Woodman returned to Newcastle. On 29 July 2015, Woodman was sent on another loan spell to Crawley Town for half of the 2015–16 season. His debut match was played on 8 August 2015 in a 1–1 draw against Oxford United. When asked about his loan spell, Woodman said: "I'm really looking forward to it. It's a massive difference and it takes some getting used to, I'll take this experience back with me and say let's not come back here, let's play in the Premier League". Crawley manager Mark Yates said: "We are delighted to have been able to bring one of the best young goalkeepers in the country to the club. The only thing Freddie lacks at the moment is experience in League football and that is what this loan spell with give him. He has all the attributes to become a top-class keeper and I have to thank Steve McClaren, Andy Woodman and everyone at Newcastle for letting us have Freddie for the first half of the season". In October 2015, Newcastle recalled Woodman from his loan at Crawley after first choice keeper Tim Krul suffered a season ending knee injury. Woodman made 12 appearances during his spell with Crawley. On 9 January 2017, Woodman moved on loan to Scottish Premiership club Kilmarnock for the remainder of the season, along with Newcastle teammates Callum Roberts and Sean Longstaff. He made his debut on 21 January 2017, as Kilmarnock lost 1–0 against Hamilton Academical in the Scottish Cup. Woodman played regularly for Kilmarnock, keeping five clean sheets in 15 appearances. He left the club before the end of the season to play in the 2017 FIFA U-20 World Cup. Woodman did not go out on loan during the first half of the 2017–18 season, although various clubs were interested in him following his success with the England under-20 team. After spending time on the bench for the first team, Woodman finally made his debut for Newcastle in a 3–1 win over Luton Town in the third round of the FA Cup. On 31 January2018, Woodman was loaned to Scottish Premiership club Aberdeen. Woodman made 5 appearances for the club. With the permanent signing of Martin Dúbravkain the summer of 2018, Woodman was demoted to fourth-choice and asked to go out on loan again, but the club opted against sanctioning a loan deal. In August 2019 he moved on loan to Swansea City.
He is the son of former Northampton Town goalkeeper Andy Woodman and his godfather is former England international defender and current England manager Gareth Southgate.
