Ross Barkley, Alex Oxlade-Chamberlain and an Arlauskis own goal saw the Three Lions past the Baltic nation, ensuring a blemish-free record at the end of Group E.
The European Championship hosts continued their impressive tournament preparations as Didier Deschamps' men’s early rally secured victory in Copenhagen on Sunday.
The Bayern Munich striker scored the winner and also levelled David Healy's record for a single qualifying competition as his nation booked their place in France.
Thomas Muller's effort early in the second half was swiftly cancelled out by a Jaba Kankava strike, but Joachim Low's men ultimately avoided slipping behind Poland in their group.
Victory means the Oranje are now in third place in Euro 2016 Group A, but Turkey will overtake them if they win their game in hand.
The Chelsea attacker was one of four separate goalscorers for the visitors as they overcame the Iberian nation to qualify for the finals in France next year.
The 2006 World Cup winners ran out comfortable winners over the hosts, sending them to the tournament proper in France despite a first-half scare.
The former Fiorentina striker scored twice for the Turkish club to overshadow Robin van Persie's goal-scoring cameo, with Simon Kjaer also netting an own goal.
Barcelona's back line shipped four goals for the third time this term on Wednesday and last season's solid showings are not being replicated so far in 2015-16. Barcelona's treble triumph in 2014-15 was built on a strong base as the Blaugrana back line provided firm foundations for the club's fantastic forwards to finish off their rivals at the other end.
An Edinson Cavani double seemed to secure the home side the three points after a Henri Saivet red card, but Wahbi Khazri popped up with an equaliser.
The Manchester United striker racked up his 50th goal for his country by firing home a late penalty, after Harry Kane had broken the deadlock with a smart finish.