Bischoff was born in Colmar, Haut-Rhin, the son of a French father – from Alsace – and a Portuguese mother.
Club career
Early career
Bischoff began his football career at SR Colmar, finishing his formation at RC Strasbourg. Aged 18, he moved to Germany and signed for SV Werder Bremen, going on to spend the majority of his spell with the reserve side but training with the main squad several times. On 14 March 2007, Bischoff made his debut for Werder's first team, coming on as a substitute for Diego in the 74th minute of a 2–0 home win against RC Celta de Vigo for the season's UEFA Cup. It would be his only official game for the club.
Arsenal
Bischoff left Werder Bremen on 1 July 2008, after rejecting a contract extension. Shortly after, he made a statement in which he said that his transfer to Arsenal was imminent. It was subsequently confirmed on 30 July, with manager Arsène Wenger stating he knew the signing was a "gamble on talent" due to the player's injury record. Bischoff made his debut in an Arsenal shirt on 6 October 2008, in a reserve match against Stoke City, making his first appearance with the first team on 11 November in a 3–0 home win over Wigan Athletic for the campaign's League Cup, coming on as a substitute in the 77th minute. He made two more cup appearances for the main squad, both as a substitute: the 0–2 League Cup defeat at Burnley in December 2008, and the 4–0 win over Cardiff City for the FA Cup. On 2 May 2009, Bischoff made his first and only Premier League appearance, replacing Theo Walcott in the 64th minute of the side's 3–0 away win against Portsmouth. He was released by the Gunners when his contract expired on 30 June, having been unable to break into the first team.
On 26 August 2009, Bischoff signed with Académica de Coimbra in Portugal, on a two-year deal. He made his Primeira Liga debut on 2 October in a 2–4 home defeat against C.S. Marítimo, starting the match and being replaced at half-time. It would be one of only four competitive appearances during the season, which he finished on loan to Segunda Liga side C.D. Aves. On 30 June 2011, after declining all offers from Académica to renew his contract, Bischoff left the Students. He joined former club Desportivo das Aves shortly after, for two years.
Preußen Münster
Bischoff returned to Germany in summer 2012, going on to spend several seasons in the 3. Liga with SC Preußen Münster and eventually becoming team captain. In 2012–13, he scored a career-best ten goals to help his team to the fourth position. At the start of the 2016–17 campaign, Bischoff requested permission to be removed from the Preußenstadion-based squad, as his mind was not "in the game".
On 21 January 2017, Bischoff signed a two-and-a-half-year deal with F.C. Hansa Rostock also in the German second division. In June 2019, it was announced he would leave the club after having chosen not to accept an offer of a contract extension.
