Not sure about flag, but the color sure have important place in Sanatana Dharma. All Rishis/Munis used to wear yellowish color'ed clothes which is nearly same as Saffron color. Here is a reference from Rigveda Suktam 10 Hymn 136:
मुनयो वातरशनाः पिशङ्गा वसते मला ।
वातस्यानु ध्राजिं यन्ति यद्देवासो अविक्षत ॥२॥
The Munis, girdled with the wind, ...
In Sw. Saradanandaji's biography of Thakurji, [Vol. II,p.635; 5th revised ed. 1979]:
Once Swami Dayananda Sarasvati, the founder of the Arya Samaj, came to
Bengal on a tour and lived for some time in a gentleman's garden in
the village called Sinthi in Baranagar, situated in the north of
Calcutta. Although he was very well-known for his scholarship, ...
Some of the baseless accusations that Neo-Buddhists have leveled against Adi Shankaracharya is that he persecuted Buddhists, destroyed Nagarjunakonda and Amaravati etc. Proselytization by force, deception or material benefits was not prevalent in those times - be it Hinduism , Jainism or Buddhism. The practice was that the vanquished in a philosophical ...
The Ochre color, which is very close to Saffron, has been prescribed as the color of an ascetic's garments.
6 A wandering ascetic should wander forth according to the rule,
abandoning his relatives and free of possessions. 17 Going into the
wilderness, 18 he has his head shaven except for the topknot; 19 wears
a loin cloth; 20 resides in one place ...
The flags of kings, in Ramayana and Mahabharata, were mentioned as having some symbol but not Bhagawa flag.
(i) kovidara (pomegranate) tree was mentioned on the flag of Bharata in Ramayana
एष वै सुमहान् श्रीमान् विटपी सम्प्रकाशते | विराजत्य् उद्गत स्कन्धः
कोविदार ध्वजो रथे || २-९६-१८
"The gigantic and glorious tree with superb branches is ...
Rig veda I.110 says about Ṛbhus
When, seeking your enjoyment onward from afar, ye, certain of my kinsmen, wandered on your way, Sons of Sudhanvan, after your long
journeying, ye came unto the home of liberal Savitar.
Savitar therefore gave you immortality, because ye came proclaiming him whom naught can hide; And this the drinking-chalice of