Rahm finished runner-up on only his second appearance on the DP World Tour this season, after previously playing in the Paris Olympics, which counted as part of the European circuit.
He said he spent time in hospital with an unspecified illness in the build-up to the tournament and was just “happy” to be able to compete.
“Thinking that on Tuesday morning I was in hospital in another country, on the other side of the Atlantic, in the end, I’m happy,” said the 2018, 2019 and 2022 Spanish Open winner, after missing out on what would have been a record fourth title.
“It’s a pity to have lost in the play-off [but] I can’t say it has been a bad week.”
Rahm was only allowed to enter the tournament after lodging a late appeal against fines imposed by the DP World Tour for his participation in conflicting Saudi Arabian-funded LIV Golf tournaments.
The two-time major champion needs to play in four tournaments a season to retain his membership of the European-based circuit, which is necessary to be considered for the 2025 Ryder Cup team.
He has entered next month’s Dunhill Links Championship in Scotland and the Andalucia Masters at Sotogrande in Spain.
The DP World Tour season ends in November.