Media playback is not supported on this device
Rose, 36, held a two-shot lead with five holes to go but lost when Garcia birdied the first extra hole on Sunday.
He had a one-shot lead on the 17th but made bogey and both parred the last.
"I feel it is a tournament I can still do well in, said Rose. "It's a course you can get to know and be competitive here for a long, long time."
Rose, who has finished tied second, 10th and second in his last three Masters, was referring to 57-year-old American Fred Couples, winner of the Green Jacket in 1992, who has had six top-20 finishes in his last seven appearances.
"I see myself having many more chances to come," the world number 14 told BBC Sport.
Rose claimed his only major win at the US Open in 2013 but was in the clubhouse at Merion as contender Phil Mickelson finished his round.
At Augusta, where he has now finished in the top 10 on five occasions, he was alongside Garcia in the final pairing as the pair wrestled to land the first major of the season.
Rose fought back after Garcia had taken a three-shot lead early on and appeared to have control with five to play, only for the Spaniard to follow birdie on 14 with what was his first eagle at Augusta in 452 holes, ending a wait dating back to 2011.
Both men missed putts for birdie when at nine under par on 18 before Garcia landed his first major in the play-off.
"I felt in control all day," added Rose. "Sometimes the rub of the green is for you and sometimes it isn't. I hit a really good putt on 18 in regulation and thought it was going in.
"I am really happy for Sergio. I would love to be wearing the Green Jacket but if it wasn't me I am glad it is him.
"We have been friends for a long time and playing golf against each other since we were 14 years old. We will get up and he will be happy for a month and then golf will take over, I will be unhappy for a month and golf will take over for me."

Hannah Wynne Richards, 63, was found dead in the office above her premises in Sketty, Swansea, on 20 January by a nurse who worked with her.
She had taken a cocktail of drugs from her surgery.
Coroner Colin Phillips said Ms Richards had been "facing financial pressure".
He ruled her death was suicide.
Swansea Coroner's Court heard three letters were found next to Ms Richards' body -  one to the coroner and the others containing money for Jeanette Hunt, who discovered her body, and a woman who looked after her horses.
The one addressed to HM Coroner read: "You are probably returning a verdict of suicide, murder by Inland Revenue would be more accurate."
The letter to Ms Hunt said how loyal her employee had been and explained that she could not pay her tax or livery fees.
It also contained Â£290, thought to be for wages, the inquest heard.
Mr Phillips said Ms Richards had been "facing financial pressure" at the time of her death and added: "She was not a business person and she placed the needs of her animals before her own personal interests."
The inquest was told Ms Richards, who set up Penybryn Veterinary Centre in 2007, had no relatives living near her and had little interaction with people outside her working life.
Instead, she devoted herself to caring for animals - at the time of her death she was living in a basement flat behind the surgery but was known to sleep in the office when she was looking after animals.
PC Jason Sullivan said: "She was regarded as an extremely gifted and caring vet who would do all she could to save an animal's life."
The inquest was told that Ms Richards did not have a "good business head" and always said the welfare of the animals was paramount.
A post-mortem examination found Ms Richards' cause of death to be multiple drug toxicity and listed four drugs used in veterinary work, which were found in her system.
Masters runner-up Justin Rose believes he will have "many more chances" to win at Augusta National in the wake of his play-off defeat by Sergio Garcia.
[NEXT_CONCEPT]
A vet who killed herself left a note to the coroner saying a conclusion of "murder by Inland Revenue" would be more appropriate than suicide, an inquest has heard.