But the British driver has endured a trying start to the new campaign in his uncompetitive Mercedes machinery.
Hamilton finished third at the opening round in Bahrain - after both Red Bull drivers retired in the closing stages with reliability failures - and then scored only a solitary point in Saudi Arabia last weekend.
Hamilton was against competing in Jeddah, following a nearby missile strike during Saturday's practice, and said after the race: "I just want to go home."
On Friday, he continued: "I am writing to tell you it is OK to feel the way you do, just know that you are not alone and that we are going to get through this.
"A friend reminded me today, you are so powerful and you can do anything you put your mind to. We can do anything we put our mind to.
"Let's remember to live in gratitude for another day to rise. Sending you love and light."
Hamilton, already 29 points behind championship leader Charles Leclerc, will be back on track at the Australian Grand Prix a week on Sunday.