The Junaid family was also hopeful that Erdogan's choice of the picture would encourage an international investigation into the death of Samih and other Palestinian children killed by the Israeli army during this summer's military onslaught on the Gaza Strip.
On July 28, four-year-old Samih was killed while playing with his siblings inside their home in the town of Jabalia in northern Gaza.
On Monday, Erdogan selected the picture of Ansam – captured by AA photographer Ali Hassan in Gaza – as the year's best photo.
The move came as part of an annual poll conducted by AA to select the best photo and video taken by the agency's photographers around the world.
"I am happy that the Turkish president has seen the photo of my brother and me as I bid him farewell, and that he was touched by it," nine-year-old Ansam Junaid told AA.
"I also call on Erdogan to ask Israel why they killed my brother and took him away from me," she said.
Ansam added that she had been with her brother "when he was killed by rocket shrapnel."
Jebreel Junaid, Ansam's father, called on Erdogan to compel Israel "to stop killing Gaza's children and lift the years-long blockade of the Gaza Strip."
A cease-fire reached between Israel and Palestinian resistance factions on August 26 ended 51 days of relentless Israeli attacks on the Gaza Strip, in which over 2,160 Palestinians – the vast majority of them civilians – were killed.