However, British media like the BBC have done a poor job of accurately conveying this public attitude, Baroness Cox told RT.
"People are very keen to hear the point of view from people inside Syria. It's widely felt and widely reported that BBC reporting is very biased and very one-sided, and so they really want a bigger picture."
She also dismissed accusations that her trip to Syria was in any way inappropriate or was somehow staged for propaganda purposes.
The baroness explained how she spoke freely with random people she met in the park, "something that couldn't have been 'arranged' by the government."
"I talked to two delightful Muslim ladies, in one of the parks in Aleppo, and that wasn't pre-arranged, and I asked them what they felt about the situation, and what they said was entirely consistent with what we'd hear in the formal meetings," she said.
According to Cox, her message to the British people – and to the entire world – is very simple: "Please, may we leave the Syrian people the freedom to decide their own future."