Pilot Steve Westmacott had to take evasive action when he spotted an American airliner still on the runway as he approached.
Westmacott said: "I could see the runway through the window. There was another plane on it."
Rangers' aircraft was forced to circle around the French capital, where they play Paris St Germain on Thursday, for a further 20 minutes before making a successful landing.
Ibrox defender Konterman admitted the incident had been a scary one but revealed he intended to use the experience to help overcome Uefa Cup opponents Paris St Germain.
"I had sweat on my hands! For me it was pretty frightening because I was sitting beside the window and I saw the ground coming closer and suddenly it disappeared with a lot of noise," said Konterman.
"It was scary and all the adrenaline was already in my blood so hopefully there is some left for the game."
Meanwhile, Rangers fans face travel chaos before and after the Uefa Cup second leg tie.
Four French air traffic controllers' unions have called a 36-hour strike from Wednesday 1800GMT to 0600 on Friday.
About 10,000 Rangers fans were expected to make the trip to France with the tie delicately poised at 0-0.
The official charter for the team, sponsors and media will stay in Paris directly after the match, returning to Glasgow on Friday morning.
The club, through an appointed travel agent, are also taking four official supporters flights that were due to leave on Thursday morning between 7.30am and 10.30am returning directly after the match.
Paris worst affected
Rangers will be attempting to re-schedule the charter flights from Glasgow that are due to operate on Thursday morning to an alternative airport outside of France.
The club's official travel agent will make telephone contact with all supporters affected to advise of the amended departure times.
Fans are urged to phone 0141 649 2731 if they have not heard from the travel agent by 1400 on Wednesday.
Civil aviation union USAC/CGT said that only one third of flights would be assured.
The civil aviation authorities predict that the Paris region and southeast of the country will be worst affected.
The strike will coincide with a two-day meeting of EU transport ministers in Brussels and is over the planned liberalisation of Europe's air transport sector.
Air traffic control services would be opened up to competition should the changes come into force.