Kudela is set to miss the rest of Slavia’s Europa League campaign and the Czech Republic’s games at the European Championship.
Arteta's side have no margin for error after being held to a 1-1 draw by Slavia in the first leg at the Emirates Stadium.
Europa League: Arsenal wait on Pierre-Emerick Aubameyang and Martin Odegaard ahead of Slavia Prague tie
Aubameyang and Odegaard, who is on loan from Real Madrid, missed training Tuesday because of illness and an ankle injury respectively.
Premier League: Mikel Arteta unsure if injured Kieran Tierney will make another Arsenal appearance this season
The 23-year-old full-back limped off before half-time in a 3-0 Premier League loss at home to Jurgen Klopp's men on Saturday.
Europa League: Slavia Prague's Onrej Kudela to miss first-leg clash against Arsenal amidst ongoing racism investigation
Rangers midfielder Glen Kamara accused Kudela of racially abusing him during the teams' last-16 tie at Ibrox last month.
Ondrej Kudela likely to be questioned by police over racial abuse of Glen Kamara, says Rangers midfielder's lawyer
Police Scotland are investigating Kamara's racism claims following Slavia's Europa League last-16, second-leg win in Glasgow last week.
Europa League: Manchester United drawn against Granada in quarter-finals; Arsenal face Slavia Prague
Ole Gunnar Solskjaer's United, who beat AC Milan in the last 16, are due to play away in the first leg on 8 April but it remains to be seen where that match will take place.
Europa League: Rangers midfielder Glen Kamara says he was racially abused by Slavia Prague's Ondrej Kudela
Rangers midfielder Glen Kamara, who is Black, told manager Steven Gerrard that Ondrej Kudela uttered a racist remark to him in the closing moments of Slavia's 2-0 victory at Ibrox Stadium in Glasgow.
Kjaer netted with a bullet header in the final seconds of stoppage time of the last 16, first leg encounter at Old Trafford, levelling the scores after Amad Diallo had opened in the 50th minute with his first United goal.
It will be the first meeting in 11 years between the two clubs steeped in European tradition and both have slipped from the pedestals they once occupied.
With Arsenal sitting in mid-table in the Premier League, this competition presents the only viable route into next season's Champions League for Arteta's team.
Champions League: Barcelona's 17-year-old Ansu Fati becomes youngest scorer in competition in 2-1 win over Inter Milan
Inter striker Lautaro Martinez had the ball in the net twice after the break, only for both goals to be disallowed for offside, before Fati smashed in a sublime finish in the final five minutes
Borussia Dortmund midfielder Axel Witsel has undergone an operation after suffering a facial injury at home and has been ruled out of action until next year, manager Lucien Favre has said.
Champions League: Inter Milan's Romelu Lukaku says he was target of racist chants by Slavia Prague fans
Inter Milan forward Romelu Lukaku says he was targeted with racist chants by Slavia Prague fans during a Champions League match and wants UEFA to take action.
Champions League: Ernesto Valverde accepts Barcelona under pressure after Slavia Prague stalemate at home
Barcelona play Dortmund at home next and will hope progress is secured before their final game against Inter Milan at the San Siro.
Champions League: Barcelona look to gain momentum against Slavia Prague after 3-1 loss to Levante in La Liga exposes vulnerability in midfield
Some have suggested Barcelona lack leaders although few could argue the likes of Lionel Messi, Gerard Pique, Luis Suarez and Sergio Busquets do not command respect
Champions League: Borussia Dortmund look to maintain 'element of joy' against Inter Milan after back-to-back Bundesliga victories
Dortmund must repeat the rock-solid defending in their draw at home to Barcelona in September to contain Inter's attack and the win over Inter suggests confidence is high
Barcelona has a three-point lead in a tough Group F which includes Inter Milan and Borussia Dortmund. But that can't gloss over another subpar showing for Barcelona on the road.
Champions League: Barcelona coach Ernesto Valverde finds silver lining in postponement of first Clasico
Barcelona and Real Madrid agreed last week to postpone La Liga's most prestigious game, which would have been a showdown for the top league spot, giving Valverde's side next weekend off
Champions League: Barcelona look to extend their five-game winning streak as they take on Slavia Prague
Barcelona will be looking to extend their five-game winning streak when they take on Champions League underdogs Slavia Prague in the teams' first-ever encounter in Prague on Wednesday.