The name of the Fibonacci strategy comes from a medieval mathematician, Leonardo of Pisa. It refers to the series of numbers called the Fibonacci sequence. The strategy itself when applied to roulette is not promising at all and cannot help you win.
The theory says that you start betting with a 0, then you add 1 and another 1, then you move on to 2, and after that comes 3, then 5, and so on, according to the sequence. But in the end it’s just a random list of numbers that doesn’t mean anything and doesn’t get you any advantage (or disadvantage, for that matter). It just requires you to remember and mentally track a lot of numbers that don’t mean anything when it comes to roulette.
Roulette is a game of chance and no strategy like that is going to work. On the other hand, analyzing different bets and their odds is a good idea. For example, outside bets are more beneficial than inside bets. Even though the payout is lower, the probability is higher, so in the end you have more chances of winning. You need to accept that the house edge of roulette favors the house over the players, and that the ball is going to stop rolling according to chance and no strategy can influence that. Roulette is a game for you when you’re okay with games of chance. Otherwise you’ll just waste time trying to invent a strategy that in the end is not going to work.