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I am asking about Ticket to Ride Europe, but if possible I would prefer a generic answer.
Let's say player A claims a route and remains with 1 car. This, per rules, starts the last turn. When it is again player A's turn, assuming all the needed cards are available, can any route be claimed, or only routes with length 1?
He can only claim a route with length 1 because he only has one train. You will not magically get more trains because it is the last turn so all normal rules still apply.
By the rules:
Game End
When one player’s stock of colored plastic trains gets down to only 0,1 or 2 trains left at the end of his turn, each player, including that player, gets one final turn. The game then ends and players calculate their final scores.
There is no mention of different rules for the last turns so normal rule apply.
This situation is not explicitly covered by the Game End rules. However, since not all the steps of claiming a route (see below) can be executed, I'd interpret not having enough colored trains as an illegal move. Therefore, the final player can only build routes with length 1 (or 2 if they had 2 trains left).
Claim a Route - The player claims a route on the board by playing a set of Train cards from his hand that match the color and quantity of the spaces that make up the route. He places one of his colored trains on each space, and scores the number of points indicated on the Route Scoring Table for that route’s length;
(link to Ticket to Ride Europe rules; other versions are similarly worded)
